CS236781: Deep Learning on Computational Accelerators¶

Homework Assignment 3¶

Faculty of Computer Science, Technion.

Submitted by:

# Name Id email
Student 1 Ofir Fuchs 326141611 ofir.fuchs@campus.technion.ac.il
Student 2 Eran Ben Elihao 330596941 eran.b@campus.technion.ac.il

Introduction¶

In this assignment we'll learn to generate text with a deep multilayer RNN network based on GRU cells. Then we'll focus our attention on image generation using a variational autoencoder. We will then shift our focus to sentiment analysis: First by training a transformer-style encoder, and then by fine-tuning a pre-trained model from Hugging Face.

General Guidelines¶

  • Please read the getting started page on the course website. It explains how to setup, run and submit the assignment.
  • This assignment requires running on GPU-enabled hardware. Please read the course servers usage guide. It explains how to use and run your code on the course servers to benefit from training with GPUs.
  • The text and code cells in these notebooks are intended to guide you through the assignment and help you verify your solutions.
  • The notebooks do not need to be edited.
  • The only exceptions are filling in your name(s) in the above cell before submission and making changes to load a checkpoint to skip training after you have done so successfully once.
  • Please do not remove sections or change the order of any cells.
  • All your code (and even answers to questions) should be written in the files within the python package corresponding the assignment number (hw1, hw2, etc). You can of course use any editor or IDE to work on these files.

Contents¶

  • Part1: Sequence Models
    • Text generation with a char-level RNN
    • Obtaining the corpus
    • Data Preprocessing
    • Dataset Creation
    • Model Implementation
    • Generating text by sampling
    • Training
    • Generating a work of art
    • Questions
  • Part 2: Variational Autoencoder
    • Obtaining the dataset
    • The Variational Autoencoder
    • Model Implementation
    • Loss Implementation
    • Sampling
    • Training
    • Questions
  • Part 3: Transformer Encoder
    • Reminder: scaled dot product attention
    • Sliding window attention
    • Multihead Sliding window attention
    • Sentiment analysis
    • Obtaining the dataset
    • Tokenizer
    • Transformer Encoder
    • Training
    • Questions

$$ \newcommand{\mat}[1]{\boldsymbol {#1}} \newcommand{\mattr}[1]{\boldsymbol {#1}^\top} \newcommand{\matinv}[1]{\boldsymbol {#1}^{-1}} \newcommand{\vec}[1]{\boldsymbol {#1}} \newcommand{\vectr}[1]{\boldsymbol {#1}^\top} \newcommand{\rvar}[1]{\mathrm {#1}} \newcommand{\rvec}[1]{\boldsymbol{\mathrm{#1}}} \newcommand{\diag}{\mathop{\mathrm {diag}}} \newcommand{\set}[1]{\mathbb {#1}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \newcommand{\pderiv}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\bb}[1]{\boldsymbol{#1}} $$

Part 1: Sequence Models¶

In this part we will learn about working with text sequences using recurrent neural networks. We'll go from a raw text file all the way to a fully trained GRU-RNN model and generate works of art!

In [1]:
import unittest
import os
import sys
import pathlib
import urllib
import shutil
import re

import numpy as np
import torch
import matplotlib.pyplot as plt

%load_ext autoreload
%autoreload 2
In [2]:
test = unittest.TestCase()
plt.rcParams.update({'font.size': 12})
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print('Using device:', device)
Using device: cuda

Text generation with a char-level RNN¶

Obtaining the corpus¶

Let's begin by downloading a corpus containing all the works of William Shakespeare. Since he was very prolific, this corpus is fairly large and will provide us with enough data for obtaining impressive results.

In [3]:
CORPUS_URL = 'https://github.com/cedricdeboom/character-level-rnn-datasets/raw/master/datasets/shakespeare.txt'
DATA_DIR = pathlib.Path.home().joinpath('.pytorch-datasets')

def download_corpus(out_path=DATA_DIR, url=CORPUS_URL, force=False):
    pathlib.Path(out_path).mkdir(exist_ok=True)
    out_filename = os.path.join(out_path, os.path.basename(url))
    
    if os.path.isfile(out_filename) and not force:
        print(f'Corpus file {out_filename} exists, skipping download.')
    else:
        print(f'Downloading {url}...')
        with urllib.request.urlopen(url) as response, open(out_filename, 'wb') as out_file:
            shutil.copyfileobj(response, out_file)
        print(f'Saved to {out_filename}.')
    return out_filename
    
corpus_path = download_corpus()
Corpus file /home/eran.b/.pytorch-datasets/shakespeare.txt exists, skipping download.

Load the text into memory and print a snippet:

In [4]:
with open(corpus_path, 'r', encoding='utf-8') as f:
    corpus = f.read()

print(f'Corpus length: {len(corpus)} chars')
print(corpus[7:1234])
Corpus length: 6347703 chars
ALLS WELL THAT ENDS WELL

by William Shakespeare

Dramatis Personae

  KING OF FRANCE
  THE DUKE OF FLORENCE
  BERTRAM, Count of Rousillon
  LAFEU, an old lord
  PAROLLES, a follower of Bertram
  TWO FRENCH LORDS, serving with Bertram

  STEWARD, Servant to the Countess of Rousillon
  LAVACHE, a clown and Servant to the Countess of Rousillon
  A PAGE, Servant to the Countess of Rousillon

  COUNTESS OF ROUSILLON, mother to Bertram
  HELENA, a gentlewoman protected by the Countess
  A WIDOW OF FLORENCE.
  DIANA, daughter to the Widow

  VIOLENTA, neighbour and friend to the Widow
  MARIANA, neighbour and friend to the Widow

  Lords, Officers, Soldiers, etc., French and Florentine  

SCENE:
Rousillon; Paris; Florence; Marseilles

ACT I. SCENE 1.
Rousillon. The COUNT'S palace

Enter BERTRAM, the COUNTESS OF ROUSILLON, HELENA, and LAFEU, all in black

  COUNTESS. In delivering my son from me, I bury a second husband.
  BERTRAM. And I in going, madam, weep o'er my father's death anew;
    but I must attend his Majesty's command, to whom I am now in
    ward, evermore in subjection.
  LAFEU. You shall find of the King a husband, madam; you, sir, a
    father. He that so generally is at all times good must of
    

Data Preprocessing¶

The first thing we'll need is to map from each unique character in the corpus to an index that will represent it in our learning process.

TODO: Implement the char_maps() function in the hw3/charnn.py module.

In [5]:
import hw3.charnn as charnn

char_to_idx, idx_to_char = charnn.char_maps(corpus)
print(char_to_idx)

test.assertEqual(len(char_to_idx), len(idx_to_char))
test.assertSequenceEqual(list(char_to_idx.keys()), list(idx_to_char.values()))
test.assertSequenceEqual(list(char_to_idx.values()), list(idx_to_char.keys()))
{'\n': 0, ' ': 1, '!': 2, '"': 3, '$': 4, '&': 5, "'": 6, '(': 7, ')': 8, ',': 9, '-': 10, '.': 11, '0': 12, '1': 13, '2': 14, '3': 15, '4': 16, '5': 17, '6': 18, '7': 19, '8': 20, '9': 21, ':': 22, ';': 23, '<': 24, '?': 25, 'A': 26, 'B': 27, 'C': 28, 'D': 29, 'E': 30, 'F': 31, 'G': 32, 'H': 33, 'I': 34, 'J': 35, 'K': 36, 'L': 37, 'M': 38, 'N': 39, 'O': 40, 'P': 41, 'Q': 42, 'R': 43, 'S': 44, 'T': 45, 'U': 46, 'V': 47, 'W': 48, 'X': 49, 'Y': 50, 'Z': 51, '[': 52, ']': 53, '_': 54, 'a': 55, 'b': 56, 'c': 57, 'd': 58, 'e': 59, 'f': 60, 'g': 61, 'h': 62, 'i': 63, 'j': 64, 'k': 65, 'l': 66, 'm': 67, 'n': 68, 'o': 69, 'p': 70, 'q': 71, 'r': 72, 's': 73, 't': 74, 'u': 75, 'v': 76, 'w': 77, 'x': 78, 'y': 79, 'z': 80, '}': 81, '\ufeff': 82}

Seems we have some strange characters in the corpus that are very rare and are probably due to mistakes. To reduce the length of each tensor we'll need to later represent our chars, it's best to remove them.

TODO: Implement the remove_chars() function in the hw3/charnn.py module.

In [6]:
corpus, n_removed = charnn.remove_chars(corpus, ['}','$','_','<','\ufeff'])
print(f'Removed {n_removed} chars')

# After removing the chars, re-create the mappings
char_to_idx, idx_to_char = charnn.char_maps(corpus)
Removed 34 chars

The next thing we need is an embedding of the chracters. An embedding is a representation of each token from the sequence as a tensor. For a char-level RNN, our tokens will be chars and we can thus use the simplest possible embedding: encode each char as a one-hot tensor. In other words, each char will be represented as a tensor whos length is the total number of unique chars (V) which contains all zeros except at the index corresponding to that specific char.

TODO: Implement the functions chars_to_onehot() and onehot_to_chars() in the hw3/charnn.py module.

In [7]:
# Wrap the actual embedding functions for calling convenience
def embed(text):
    return charnn.chars_to_onehot(text, char_to_idx)

def unembed(embedding):
    return charnn.onehot_to_chars(embedding, idx_to_char)

text_snippet = corpus[3104:3148]
print(text_snippet)
print(embed(text_snippet[0:3]))

test.assertEqual(text_snippet, unembed(embed(text_snippet)))
test.assertEqual(embed(text_snippet).dtype, torch.int8)
brine a maiden can season her praise in.
   
tensor([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0],
        [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
         0, 0, 0, 0, 0, 0],
        [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0, 0, 0, 0, 0, 0]], dtype=torch.int8)

Dataset Creation¶

We wish to train our model to generate text by constantly predicting what the next char should be based on the past. To that end we'll need to train our recurrent network in a way similar to a classification task. At each timestep, we input a char and set the expected output (label) to be the next char in the original sequence.

We will split our corpus into shorter sequences of length S chars (see question below). Each sample we provide our model with will therefore be a tensor of shape (S,V) where V is the embedding dimension. Our model will operate sequentially on each char in the sequence. For each sample, we'll also need a label. This is simply another sequence, shifted by one char so that the label of each char is the next char in the corpus.

TODO: Implement the chars_to_labelled_samples() function in the hw3/charnn.py module.

In [8]:
# Create dataset of sequences
seq_len = 64
vocab_len = len(char_to_idx)

# Create labelled samples
samples, labels = charnn.chars_to_labelled_samples(corpus, char_to_idx, seq_len, device)
print(f'samples shape: {samples.shape}')
print(f'labels shape: {labels.shape}')

# Test shapes
num_samples = (len(corpus) - 1) // seq_len
test.assertEqual(samples.shape, (num_samples, seq_len, vocab_len))
test.assertEqual(labels.shape, (num_samples, seq_len))

# Test content
for _ in range(1000):
    # random sample
    i = np.random.randint(num_samples, size=(1,))[0]
    # Compare to corpus
    test.assertEqual(unembed(samples[i]), corpus[i*seq_len:(i+1)*seq_len], msg=f"content mismatch in sample {i}")
    # Compare to labels
    sample_text = unembed(samples[i])
    label_text = str.join('', [idx_to_char[j.item()] for j in labels[i]])
    test.assertEqual(sample_text[1:], label_text[0:-1], msg=f"label mismatch in sample {i}")
samples shape: torch.Size([99182, 64, 78])
labels shape: torch.Size([99182, 64])

Let's print a few consecutive samples. You should see that the text continues between them.

In [9]:
import re
import random

i = random.randrange(num_samples-5)
for i in range(i, i+5):
    test.assertEqual(len(samples[i]), seq_len)
    s = re.sub(r'\s+', ' ', unembed(samples[i])).strip()
    print(f'sample [{i}]:\n\t{s}')
sample [93594]:
	I prize it As I weigh grief, which I would spare: for honour, 'T
sample [93595]:
	is a derivative from me to mine, And only that I stand for. I ap
sample [93596]:
	peal To your own conscience, sir, before Polixenes Came to your
sample [93597]:
	court, how I was in your grace, How merited to be so; since he c
sample [93598]:
	ame, With what encounter so uncurrent I Have strain'd to appear

As usual, instead of feeding one sample at a time into our model's forward we'll work with batches of samples. This means that at every timestep, our model will operate on a batch of chars that are from different sequences. Effectively this will allow us to parallelize training our model by dong matrix-matrix multiplications instead of matrix-vector during the forward pass.

An important nuance is that we need the batches to be contiguous, i.e. sample $k$ in batch $j$ should continue sample $k$ from batch $j-1$. The following figure illustrates this:

No description has been provided for this image

If we naïvely take consecutive samples into batches, e.g. [0,1,...,B-1], [B,B+1,...,2B-1] and so on, we won't have contiguous sequences at the same index between adjacent batches.

To accomplish this we need to tell our DataLoader which samples to combine together into one batch. We do this by implementing a custom PyTorch Sampler, and providing it to our DataLoader.

TODO: Implement the SequenceBatchSampler class in the hw3/charnn.py module.

In [10]:
from hw3.charnn import SequenceBatchSampler

sampler = SequenceBatchSampler(dataset=range(32), batch_size=10)
sampler_idx = list(sampler)
print('sampler_idx =\n', sampler_idx)

# Test the Sampler
test.assertEqual(len(sampler_idx), 30)
batch_idx = np.array(sampler_idx).reshape(-1, 10)
for k in range(10):
    test.assertEqual(np.diff(batch_idx[:, k], n=2).item(), 0)
sampler_idx =
 [0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 2, 5, 8, 11, 14, 17, 20, 23, 26, 29]
/home/eran.b/miniconda3/envs/cs236781-hw/lib/python3.8/site-packages/torch/utils/data/sampler.py:65: UserWarning: `data_source` argument is not used and will be removed in 2.2.0.You may still have custom implementation that utilizes it.
  warnings.warn("`data_source` argument is not used and will be removed in 2.2.0."

Even though we're working with sequences, we can still use the standard PyTorch Dataset/DataLoader combo. For the dataset we can use a built-in class, TensorDataset to return tuples of (sample, label) from the samples and labels tensors we created above. The DataLoader will be provided with our custom Sampler so that it generates appropriate batches.

In [11]:
import torch.utils.data

# Create DataLoader returning batches of samples.
batch_size = 32

ds_corpus = torch.utils.data.TensorDataset(samples, labels)
sampler_corpus = SequenceBatchSampler(ds_corpus, batch_size)
dl_corpus = torch.utils.data.DataLoader(ds_corpus, batch_size=batch_size, sampler=sampler_corpus, shuffle=False)

Let's see what that gives us:

In [12]:
print(f'num batches: {len(dl_corpus)}')

x0, y0 = next(iter(dl_corpus))
print(f'shape of a batch of samples: {x0.shape}')
print(f'shape of a batch of labels: {y0.shape}')
num batches: 3100
shape of a batch of samples: torch.Size([32, 64, 78])
shape of a batch of labels: torch.Size([32, 64])

Now lets look at the same sample index from multiple batches taken from our corpus.

In [13]:
# Check that sentences in in same index of different batches complete each other.
k = random.randrange(batch_size)
for j, (X, y) in enumerate(dl_corpus,):
    print(f'=== batch {j}, sample {k} ({X[k].shape}): ===')
    s = re.sub(r'\s+', ' ', unembed(X[k])).strip()
    print(f'\t{s}')
    if j==4: break
=== batch 0, sample 24 (torch.Size([64, 78])): ===
	mind were clear again, that I might water an ass at it. I ha
=== batch 1, sample 24 (torch.Size([64, 78])): ===
	d rather be a tick in a sheep than such a valiant ignorance.
=== batch 2, sample 24 (torch.Size([64, 78])): ===
	Exit ACT IV. SCENE 1. Troy.
=== batch 3, sample 24 (torch.Size([64, 78])): ===
	A street Enter, at one side, AENEAS, and servant with a torch;
=== batch 4, sample 24 (torch.Size([64, 78])): ===
	at another, PARIS, DEIPHOBUS, ANTENOR, DIOMEDES the Grecian, an

Model Implementation¶

Finally, our data set is ready so we can focus on our model.

We'll implement here is a multilayer gated recurrent unit (GRU) model, with dropout. This model is a type of RNN which performs similar to the well-known LSTM model, but it's somewhat easier to train because it has less parameters. We'll modify the regular GRU slightly by applying dropout to the hidden states passed between layers of the model.

The model accepts an input $\mat{X}\in\set{R}^{S\times V}$ containing a sequence of embedded chars. It returns an output $\mat{Y}\in\set{R}^{S\times V}$ of predictions for the next char and the final hidden state $\mat{H}\in\set{R}^{L\times H}$. Here $S$ is the sequence length, $V$ is the vocabulary size (number of unique chars), $L$ is the number of layers in the model and $H$ is the hidden dimension.

Mathematically, the model's forward function at layer $k\in[1,L]$ and timestep $t\in[1,S]$ can be described as

$$ \begin{align} \vec{z_t}^{[k]} &= \sigma\left(\vec{x}^{[k]}_t {\mattr{W}_{\mathrm{xz}}}^{[k]} + \vec{h}_{t-1}^{[k]} {\mattr{W}_{\mathrm{hz}}}^{[k]} + \vec{b}_{\mathrm{z}}^{[k]}\right) \\ \vec{r_t}^{[k]} &= \sigma\left(\vec{x}^{[k]}_t {\mattr{W}_{\mathrm{xr}}}^{[k]} + \vec{h}_{t-1}^{[k]} {\mattr{W}_{\mathrm{hr}}}^{[k]} + \vec{b}_{\mathrm{r}}^{[k]}\right) \\ \vec{g_t}^{[k]} &= \tanh\left(\vec{x}^{[k]}_t {\mattr{W}_{\mathrm{xg}}}^{[k]} + (\vec{r_t}^{[k]}\odot\vec{h}_{t-1}^{[k]}) {\mattr{W}_{\mathrm{hg}}}^{[k]} + \vec{b}_{\mathrm{g}}^{[k]}\right) \\ \vec{h_t}^{[k]} &= \vec{z}^{[k]}_t \odot \vec{h}^{[k]}_{t-1} + \left(1-\vec{z}^{[k]}_t\right)\odot \vec{g_t}^{[k]} \end{align} $$

The input to each layer is, $$ \mat{X}^{[k]} = \begin{bmatrix} {\vec{x}_1}^{[k]} \\ \vdots \\ {\vec{x}_S}^{[k]} \end{bmatrix} = \begin{cases} \mat{X} & \mathrm{if} ~k = 1~ \\ \mathrm{dropout}_p \left( \begin{bmatrix} {\vec{h}_1}^{[k-1]} \\ \vdots \\ {\vec{h}_S}^{[k-1]} \end{bmatrix} \right) & \mathrm{if} ~1 < k \leq L+1~ \end{cases}. $$

The output of the entire model is then, $$ \mat{Y} = \mat{X}^{[L+1]} {\mattr{W}_{\mathrm{hy}}} + \mat{B}_{\mathrm{y}} $$

and the final hidden state is $$ \mat{H} = \begin{bmatrix} {\vec{h}_S}^{[1]} \\ \vdots \\ {\vec{h}_S}^{[L]} \end{bmatrix}. $$

Notes:

  • $t\in[1,S]$ is the timestep, i.e. the current position within the sequence of each sample.
  • $\vec{x}_t^{[k]}$ is the input of layer $k$ at timestep $t$, respectively.
  • The outputs of the last layer $\vec{y}_t^{[L]}$, are the predicted next characters for every input char. These are similar to class scores in classification tasks.
  • The hidden states at the last timestep, $\vec{h}_S^{[k]}$, are the final hidden state returned from the model.
  • $\sigma(\cdot)$ is the sigmoid function, i.e. $\sigma(\vec{z}) = 1/(1+e^{-\vec{z}})$ which returns values in $(0,1)$.
  • $\tanh(\cdot)$ is the hyperbolic tangent, i.e. $\tanh(\vec{z}) = (e^{2\vec{z}}-1)/(e^{2\vec{z}}+1)$ which returns values in $(-1,1)$.
  • $\vec{h_t}^{[k]}$ is the hidden state of layer $k$ at time $t$. This can be thought of as the memory of that layer.
  • $\vec{g_t}^{[k]}$ is the candidate hidden state for time $t+1$.
  • $\vec{z_t}^{[k]}$ is known as the update gate. It combines the previous state with the input to determine how much the current state will be combined with the new candidate state. For example, if $\vec{z_t}^{[k]}=\vec{1}$ then the current input has no effect on the output.
  • $\vec{r_t}^{[k]}$ is known as the reset gate. It combines the previous state with the input to determine how much of the previous state will affect the current state candidate. For example if $\vec{r_t}^{[k]}=\vec{0}$ the previous state has no effect on the current candidate state.

Here's a graphical representation of the GRU's forward pass at each timestep. The $\vec{\tilde{h}}$ in the image is our $\vec{g}$ (candidate next state).

No description has been provided for this image

You can see how the reset and update gates allow the model to completely ignore it's previous state, completely ignore it's input, or any mixture of those states (since the gates are actually continuous and between $(0,1)$).

Here's a graphical representation of the entire model. You can ignore the $c_t^{[k]}$ (cell state) variables (which are relevant for LSTM models). Our model has only the hidden state, $h_t^{[k]}$. Also notice that we added dropout between layers (i.e., on the up arrows).

No description has been provided for this image

The purple tensors are inputs (a sequence and initial hidden state per layer), and the green tensors are outputs (another sequence and final hidden state per layer). Each blue block implements the above forward equations. Blocks that are on the same vertical level are at the same layer, and therefore share parameters.

TODO:implement MultilayerGRU class in the hw3/charnn.py module.

Notes:

  • We use batches now. The math is identical to the above, but all the tensors will have an extra batch dimension as their first dimension.
  • Read the diagram above, try to understand all the dimentions.
In [14]:
in_dim = vocab_len
h_dim = 256
n_layers = 3
model = charnn.MultilayerGRU(in_dim, h_dim, out_dim=in_dim, n_layers=n_layers)
model = model.to(device)
print(model)

# Test forward pass
y, h = model(x0.to(dtype=torch.float, device=device))
print(f'y.shape={y.shape}')
print(f'h.shape={h.shape}')

test.assertEqual(y.shape, (batch_size, seq_len, vocab_len))
test.assertEqual(h.shape, (batch_size, n_layers, h_dim))
test.assertEqual(len(list(model.parameters())), 9 * n_layers + 2) 
MultilayerGRU(
  (layer_params): ModuleList(
    (0): ModuleList(
      (0): Linear(in_features=78, out_features=256, bias=True)
      (1): Linear(in_features=256, out_features=256, bias=False)
      (2): Linear(in_features=78, out_features=256, bias=True)
      (3): Linear(in_features=256, out_features=256, bias=False)
      (4): Linear(in_features=78, out_features=256, bias=True)
      (5): Linear(in_features=256, out_features=256, bias=False)
      (6): Dropout(p=0, inplace=False)
    )
    (1-2): 2 x ModuleList(
      (0): Linear(in_features=256, out_features=256, bias=True)
      (1): Linear(in_features=256, out_features=256, bias=False)
      (2): Linear(in_features=256, out_features=256, bias=True)
      (3): Linear(in_features=256, out_features=256, bias=False)
      (4): Linear(in_features=256, out_features=256, bias=True)
      (5): Linear(in_features=256, out_features=256, bias=False)
      (6): Dropout(p=0, inplace=False)
    )
    (3): ModuleList(
      (0): Linear(in_features=256, out_features=78, bias=True)
    )
  )
  (out_layer): Linear(in_features=256, out_features=78, bias=True)
)
y.shape=torch.Size([32, 64, 78])
h.shape=torch.Size([32, 3, 256])

Generating text by sampling¶

Now that we have a model, we can implement text generation based on it. The idea is simple: At each timestep our model receives one char $x_t$ from the input sequence and outputs scores $y_t$ for what the next char should be. We'll convert these scores into a probability over each of the possible chars. In other words, for each input char $x_t$ we create a probability distribution for the next char conditioned on the current one and the state of the model (representing all previous inputs): $$p(x_{t+1}|x_t, \vec{h}_t).$$

Once we have such a distribution, we'll sample a char from it. This will be the first char of our generated sequence. Now we can feed this new char into the model, create another distribution, sample the next char and so on. Note that it's crucial to propagate the hidden state when sampling.

The important point however is how to create the distribution from the scores. One way, as we saw in previous ML tasks, is to use the softmax function. However, a drawback of softmax is that it can generate very diffuse (more uniform) distributions if the score values are very similar. When sampling, we would prefer to control the distributions and make them less uniform to increase the chance of sampling the char(s) with the highest scores compared to the others.

To control the variance of the distribution, a common trick is to add a hyperparameter $T$, known as the temperature to the softmax function. The class scores are simply scaled by $T$ before softmax is applied: $$ \mathrm{softmax}_T(\vec{y}) = \frac{e^{\vec{y}/T}}{\sum_k e^{y_k/T}} $$

A low $T$ will result in less uniform distributions and vice-versa.

TODO: Implement the hot_softmax() function in the hw3/charnn.py module.

In [15]:
scores = y[0,0,:].detach()
_, ax = plt.subplots(figsize=(15,5))

for t in reversed([0.3, 0.5, 1.0, 100]):
    ax.plot(charnn.hot_softmax(scores, temperature=t).cpu().numpy(), label=f'T={t}')
ax.set_xlabel('$x_{t+1}$')
ax.set_ylabel('$p(x_{t+1}|x_t)$')
ax.legend()

uniform_proba = 1/len(char_to_idx)
uniform_diff = torch.abs(charnn.hot_softmax(scores, temperature=100) - uniform_proba)
test.assertTrue(torch.all(uniform_diff < 1e-4))
No description has been provided for this image

TODO: Implement the generate_from_model() function in the hw3/charnn.py module.

In [16]:
for _ in range(3):
    text = charnn.generate_from_model(model, "foobar", 50, (char_to_idx, idx_to_char), T=0.5)
    print(text)
    test.assertEqual(len(text), 50)
foobarh0d,hBnOiN)!RyA3qLn0okBsDDhVF?7z
p4:GrTTIYe8
foobartZ:t]zsCeM6fdQ&?oJ7S93W!RC](vm6Y!-rl  8&gk]d
foobarJ!aMooL5PRYbV'HQ7r; j[Uv1fp[VroEpt(&Pm"mx?]4

Training¶

To train this model, we'll calculate the loss at each time step by comparing the predicted char to the actual char from our label. We can use cross entropy since per char it's similar to a classification problem. We'll then sum the losses over the sequence and back-propagate the gradients though time. Notice that the back-propagation algorithm will "visit" each layer's parameter tensors multiple times, so we'll accumulate gradients in parameters of the blocks. Luckily autograd will handle this part for us.

As usual, the first step of training will be to try and overfit a large model (many parameters) to a tiny dataset. Again, this is to ensure the model and training code are implemented correctly, i.e. that the model can learn.

For a generative model such as this, overfitting is slightly trickier than for classification. What we'll aim to do is to get our model to memorize a specific sequence of chars, so that when given the first char in the sequence it will immediately spit out the rest of the sequence verbatim.

Let's create a tiny dataset to memorize.

In [17]:
# Pick a tiny subset of the dataset
subset_start, subset_end = 1001, 1005
ds_corpus_ss = torch.utils.data.Subset(ds_corpus, range(subset_start, subset_end))
batch_size_ss = 1
sampler_ss = SequenceBatchSampler(ds_corpus_ss, batch_size=batch_size_ss)
dl_corpus_ss = torch.utils.data.DataLoader(ds_corpus_ss, batch_size_ss, sampler=sampler_ss, shuffle=False)

# Convert subset to text
subset_text = ''
for i in range(subset_end - subset_start):
    subset_text += unembed(ds_corpus_ss[i][0])
print(f'Text to "memorize":\n\n{subset_text}')
Text to "memorize":

TRAM. What would you have?
  HELENA. Something; and scarce so much; nothing, indeed.
    I would not tell you what I would, my lord.
    Faith, yes:
    Strangers and foes do sunder and not kiss.
  BERTRAM. I pray you, stay not, but in haste to horse.
  HE
In [18]:
import torch.nn as nn
import torch.optim as optim
from hw3.training import RNNTrainer

torch.manual_seed(42)

lr = 0.01
num_epochs = 500

in_dim = vocab_len
h_dim = 128
n_layers = 2
loss_fn = nn.CrossEntropyLoss()
model = charnn.MultilayerGRU(in_dim, h_dim, out_dim=in_dim, n_layers=n_layers).to(device)
optimizer = optim.Adam(model.parameters(), lr=lr)
trainer = RNNTrainer(model, loss_fn, optimizer, device)

for epoch in range(num_epochs):
    epoch_result = trainer.train_epoch(dl_corpus_ss, verbose=False)
    
    # Every X epochs, we'll generate a sequence starting from the first char in the first sequence
    # to visualize how/if/what the model is learning.
    if epoch == 0 or (epoch+1) % 25 == 0:
        avg_loss = np.mean(epoch_result.losses)
        accuracy = np.mean(epoch_result.accuracy)
        print(f'\nEpoch #{epoch+1}: Avg. loss = {avg_loss:.3f}, Accuracy = {accuracy:.2f}%')
        
        generated_sequence = charnn.generate_from_model(model, subset_text[0],
                                                        seq_len*(subset_end-subset_start),
                                                        (char_to_idx,idx_to_char), T=0.1)
        
        # Stop if we've successfully memorized the small dataset.
        print(generated_sequence)
        if generated_sequence == subset_text:
            break

# Test successful overfitting
test.assertGreater(epoch_result.accuracy, 99)
test.assertEqual(generated_sequence, subset_text)
Epoch #1: Avg. loss = 3.937, Accuracy = 17.97%
Ttn                         t            t     t  n t                       t    t         t                                   t       t    tt           t       t                             t    t                          t           t          t         
Epoch #25: Avg. loss = 1.028, Accuracy = 73.44%
TAAM. What would you hat youhde?
  HELLLAAA. Sotethang; and soat yould not teas andel you teinge inde, note ind soat nothinge indee and sou teas andes and yoat sould not tel, notete so yoas indeesangete soet nothinge indee inde, note so yoas indeesand you 
Epoch #50: Avg. loss = 0.027, Accuracy = 100.00%
TRAM. What would you have?
  HELENA. Something; and scarce so much; nothing, indeed.
    I would not tell you what I would, my lord.
    Faith, yes:
    Strangers and foes do sunder and not kiss.
  BERTRAM. I pray you, stay not, but in haste to horse.
  HE

OK, so training works - we can memorize a short sequence. We'll now train a much larger model on our large dataset. You'll need a GPU for this part.

First, lets set up our dataset and models for training. We'll split our corpus into 90% train and 10% test-set. Also, we'll use a learning-rate scheduler to control the learning rate during training.

TODO: Set the hyperparameters in the part1_rnn_hyperparams() function of the hw3/answers.py module.

In [19]:
from hw3.answers import part1_rnn_hyperparams

hp = part1_rnn_hyperparams()
print('hyperparams:\n', hp)

### Dataset definition
vocab_len = len(char_to_idx)
batch_size = hp['batch_size']
seq_len = hp['seq_len']
train_test_ratio = 0.9
num_samples = (len(corpus) - 1) // seq_len
num_train = int(train_test_ratio * num_samples)

samples, labels = charnn.chars_to_labelled_samples(corpus, char_to_idx, seq_len, device)

ds_train = torch.utils.data.TensorDataset(samples[:num_train], labels[:num_train])
sampler_train = SequenceBatchSampler(ds_train, batch_size)
dl_train = torch.utils.data.DataLoader(ds_train, batch_size, shuffle=False, sampler=sampler_train, drop_last=True)

ds_test = torch.utils.data.TensorDataset(samples[num_train:], labels[num_train:])
sampler_test = SequenceBatchSampler(ds_test, batch_size)
dl_test = torch.utils.data.DataLoader(ds_test, batch_size, shuffle=False, sampler=sampler_test, drop_last=True)

print(f'Train: {len(dl_train):3d} batches, {len(dl_train)*batch_size*seq_len:7d} chars')
print(f'Test:  {len(dl_test):3d} batches, {len(dl_test)*batch_size*seq_len:7d} chars')

### Training definition
in_dim = out_dim = vocab_len
checkpoint_file = 'checkpoints/rnn'
num_epochs = 50
early_stopping = 5

model = charnn.MultilayerGRU(in_dim, hp['h_dim'], out_dim, hp['n_layers'], hp['dropout'])
loss_fn = nn.CrossEntropyLoss()
optimizer = optim.Adam(model.parameters(), lr=hp['learn_rate'])
scheduler = optim.lr_scheduler.ReduceLROnPlateau(
    optimizer, mode='max', factor=hp['lr_sched_factor'], patience=hp['lr_sched_patience'], verbose=True
)
trainer = RNNTrainer(model, loss_fn, optimizer, device)
hyperparams:
 {'batch_size': 64, 'seq_len': 64, 'h_dim': 256, 'n_layers': 3, 'dropout': 0.2, 'learn_rate': 0.001, 'lr_sched_factor': 0.1, 'lr_sched_patience': 2}
Train: 1394 batches, 5709824 chars
Test:  154 batches,  630784 chars
/home/eran.b/miniconda3/envs/cs236781-hw/lib/python3.8/site-packages/torch/utils/data/sampler.py:65: UserWarning: `data_source` argument is not used and will be removed in 2.2.0.You may still have custom implementation that utilizes it.
  warnings.warn("`data_source` argument is not used and will be removed in 2.2.0."

The code blocks below will train the model and save checkpoints containing the training state and the best model parameters to a file. This allows you to stop training and resume it later from where you left.

Note that you can use the main.py script provided within the assignment folder to run this notebook from the command line as if it were a python script by using the run-nb subcommand. This allows you to train your model using this notebook without starting jupyter. You can combine this with srun or sbatch to run the notebook with a GPU on the course servers.

TODO:

  • Implement the fit() method of the Trainer class. You can reuse the relevant implementation parts from HW2, but make sure to implement early stopping and checkpoints.
  • Implement the test_epoch() and test_batch() methods of the RNNTrainer class in the hw3/training.py module.
  • Run the following block to train.
  • When training is done and you're satisfied with the model's outputs, rename the checkpoint file to checkpoints/rnn_final.pt. This will cause the block to skip training and instead load your saved model when running the homework submission script. Note that your submission zip file will not include the checkpoint file. This is OK.
In [20]:
from cs236781.plot import plot_fit

def post_epoch_fn(epoch, train_res, test_res, verbose):
    # Update learning rate
    scheduler.step(test_res.accuracy)
    # Sample from model to show progress
    if verbose:
        start_seq = "ACT I."
        generated_sequence = charnn.generate_from_model(
            model, start_seq, 100, (char_to_idx,idx_to_char), T=0.5
        )
        print(generated_sequence)

# Train, unless final checkpoint is found
checkpoint_file_final = f'{checkpoint_file}_final.pt'
if os.path.isfile(checkpoint_file_final):
    print(f'*** Loading final checkpoint file {checkpoint_file_final} instead of training')
    saved_state = torch.load(checkpoint_file_final, map_location=device)
    model.load_state_dict(saved_state['model_state'])
else:
    try:
        # Print pre-training sampling
        print(charnn.generate_from_model(model, "ACT I.", 100, (char_to_idx,idx_to_char), T=0.5))
    
        fit_res = trainer.fit(dl_train, dl_test, num_epochs, max_batches=None,
                                  post_epoch_fn=post_epoch_fn, early_stopping=early_stopping,
                                  checkpoints=checkpoint_file, print_every=1)
            
        fig, axes = plot_fit(fit_res)
    except KeyboardInterrupt as e:
            print('\n *** Training interrupted by user')
/home/eran.b/HW3/hw3/training.py:76: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  saved_state = torch.load(checkpoint_filename, map_location=self.device)
ACT I.xgqb[nwv.EfEQvPeoTxX,.l Mvh0AWXFvZkBs58g"ppO?EOs2com&w4E1?:0bBzbH;aMJj;b qBpVZ3n-YT."&Xizh
C)V
*** Loading checkpoint file checkpoints/rnn.pt
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test_batch (Avg. Loss 1.301, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.26it/s]
test_batch (Avg. Loss 1.301, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]

ACT I.
                                                                                            [
--- EPOCH 2/50 ---
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train_batch (1.020):   2%|▏         | 34/1394 [00:09<06:26,  3.52it/s]
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train_batch (1.055):   3%|▎         | 35/1394 [00:10<06:23,  3.54it/s]
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train_batch (1.036):   3%|▎         | 36/1394 [00:10<06:21,  3.56it/s]
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train_batch (1.032):   3%|▎         | 39/1394 [00:11<06:18,  3.58it/s]
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test_batch (1.343):  58%|█████▊    | 89/154 [00:08<00:06, 10.26it/s]
test_batch (1.343):  58%|█████▊    | 90/154 [00:08<00:06, 10.26it/s]
test_batch (1.309):  58%|█████▊    | 90/154 [00:08<00:06, 10.26it/s]
test_batch (1.297):  59%|█████▉    | 91/154 [00:08<00:06, 10.26it/s]
test_batch (1.297):  60%|█████▉    | 92/154 [00:08<00:06, 10.25it/s]
test_batch (1.299):  60%|█████▉    | 92/154 [00:09<00:06, 10.25it/s]
test_batch (1.303):  60%|██████    | 93/154 [00:09<00:05, 10.25it/s]
test_batch (1.303):  61%|██████    | 94/154 [00:09<00:05, 10.23it/s]
test_batch (1.308):  61%|██████    | 94/154 [00:09<00:05, 10.23it/s]
test_batch (1.284):  62%|██████▏   | 95/154 [00:09<00:05, 10.23it/s]
test_batch (1.284):  62%|██████▏   | 96/154 [00:09<00:05, 10.17it/s]
test_batch (1.273):  62%|██████▏   | 96/154 [00:09<00:05, 10.17it/s]
test_batch (1.273):  63%|██████▎   | 97/154 [00:09<00:05, 10.17it/s]
test_batch (1.273):  64%|██████▎   | 98/154 [00:09<00:05, 10.20it/s]
test_batch (1.307):  64%|██████▎   | 98/154 [00:09<00:05, 10.20it/s]
test_batch (1.296):  64%|██████▍   | 99/154 [00:09<00:05, 10.20it/s]
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test_batch (1.313):  67%|██████▋   | 103/154 [00:10<00:04, 10.22it/s]
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test_batch (1.263):  68%|██████▊   | 104/154 [00:10<00:04, 10.22it/s]
test_batch (1.262):  68%|██████▊   | 105/154 [00:10<00:04, 10.22it/s]
test_batch (1.262):  69%|██████▉   | 106/154 [00:10<00:04, 10.23it/s]
test_batch (1.279):  69%|██████▉   | 106/154 [00:10<00:04, 10.23it/s]
test_batch (1.296):  69%|██████▉   | 107/154 [00:10<00:04, 10.23it/s]
test_batch (1.296):  70%|███████   | 108/154 [00:10<00:04, 10.24it/s]
test_batch (1.273):  70%|███████   | 108/154 [00:10<00:04, 10.24it/s]
test_batch (1.272):  71%|███████   | 109/154 [00:10<00:04, 10.24it/s]
test_batch (1.272):  71%|███████▏  | 110/154 [00:10<00:04, 10.25it/s]
test_batch (1.274):  71%|███████▏  | 110/154 [00:10<00:04, 10.25it/s]
test_batch (1.315):  72%|███████▏  | 111/154 [00:10<00:04, 10.25it/s]
test_batch (1.315):  73%|███████▎  | 112/154 [00:10<00:04, 10.23it/s]
test_batch (1.283):  73%|███████▎  | 112/154 [00:11<00:04, 10.23it/s]
test_batch (1.293):  73%|███████▎  | 113/154 [00:11<00:04, 10.23it/s]
test_batch (1.293):  74%|███████▍  | 114/154 [00:11<00:03, 10.24it/s]
test_batch (1.313):  74%|███████▍  | 114/154 [00:11<00:03, 10.24it/s]
test_batch (1.296):  75%|███████▍  | 115/154 [00:11<00:03, 10.24it/s]
test_batch (1.296):  75%|███████▌  | 116/154 [00:11<00:03, 10.22it/s]
test_batch (1.314):  75%|███████▌  | 116/154 [00:11<00:03, 10.22it/s]
test_batch (1.321):  76%|███████▌  | 117/154 [00:11<00:03, 10.22it/s]
test_batch (1.321):  77%|███████▋  | 118/154 [00:11<00:03, 10.20it/s]
test_batch (1.346):  77%|███████▋  | 118/154 [00:11<00:03, 10.20it/s]
test_batch (1.297):  77%|███████▋  | 119/154 [00:11<00:03, 10.20it/s]
test_batch (1.297):  78%|███████▊  | 120/154 [00:11<00:03, 10.20it/s]
test_batch (1.269):  78%|███████▊  | 120/154 [00:11<00:03, 10.20it/s]
test_batch (1.309):  79%|███████▊  | 121/154 [00:11<00:03, 10.20it/s]
test_batch (1.309):  79%|███████▉  | 122/154 [00:11<00:03, 10.19it/s]
test_batch (1.265):  79%|███████▉  | 122/154 [00:12<00:03, 10.19it/s]
test_batch (1.345):  80%|███████▉  | 123/154 [00:12<00:03, 10.19it/s]
test_batch (1.345):  81%|████████  | 124/154 [00:12<00:02, 10.18it/s]
test_batch (1.291):  81%|████████  | 124/154 [00:12<00:02, 10.18it/s]
test_batch (1.301):  81%|████████  | 125/154 [00:12<00:02, 10.18it/s]
test_batch (1.301):  82%|████████▏ | 126/154 [00:12<00:02, 10.20it/s]
test_batch (1.323):  82%|████████▏ | 126/154 [00:12<00:02, 10.20it/s]
test_batch (1.312):  82%|████████▏ | 127/154 [00:12<00:02, 10.20it/s]
test_batch (1.312):  83%|████████▎ | 128/154 [00:12<00:02, 10.21it/s]
test_batch (1.321):  83%|████████▎ | 128/154 [00:12<00:02, 10.21it/s]
test_batch (1.289):  84%|████████▍ | 129/154 [00:12<00:02, 10.21it/s]
test_batch (1.289):  84%|████████▍ | 130/154 [00:12<00:02, 10.24it/s]
test_batch (1.294):  84%|████████▍ | 130/154 [00:12<00:02, 10.24it/s]
test_batch (1.356):  85%|████████▌ | 131/154 [00:12<00:02, 10.24it/s]
test_batch (1.356):  86%|████████▌ | 132/154 [00:12<00:02, 10.24it/s]
test_batch (1.327):  86%|████████▌ | 132/154 [00:13<00:02, 10.24it/s]
test_batch (1.323):  86%|████████▋ | 133/154 [00:13<00:02, 10.24it/s]
test_batch (1.323):  87%|████████▋ | 134/154 [00:13<00:01, 10.24it/s]
test_batch (1.285):  87%|████████▋ | 134/154 [00:13<00:01, 10.24it/s]
test_batch (1.307):  88%|████████▊ | 135/154 [00:13<00:01, 10.24it/s]
test_batch (1.307):  88%|████████▊ | 136/154 [00:13<00:01, 10.25it/s]
test_batch (1.247):  88%|████████▊ | 136/154 [00:13<00:01, 10.25it/s]
test_batch (1.305):  89%|████████▉ | 137/154 [00:13<00:01, 10.25it/s]
test_batch (1.305):  90%|████████▉ | 138/154 [00:13<00:01, 10.26it/s]
test_batch (1.294):  90%|████████▉ | 138/154 [00:13<00:01, 10.26it/s]
test_batch (1.308):  90%|█████████ | 139/154 [00:13<00:01, 10.26it/s]
test_batch (1.308):  91%|█████████ | 140/154 [00:13<00:01, 10.23it/s]
test_batch (1.339):  91%|█████████ | 140/154 [00:13<00:01, 10.23it/s]
test_batch (1.331):  92%|█████████▏| 141/154 [00:13<00:01, 10.23it/s]
test_batch (1.331):  92%|█████████▏| 142/154 [00:13<00:01, 10.22it/s]
test_batch (1.313):  92%|█████████▏| 142/154 [00:13<00:01, 10.22it/s]
test_batch (1.297):  93%|█████████▎| 143/154 [00:14<00:01, 10.22it/s]
test_batch (1.297):  94%|█████████▎| 144/154 [00:14<00:00, 10.19it/s]
test_batch (1.341):  94%|█████████▎| 144/154 [00:14<00:00, 10.19it/s]
test_batch (1.320):  94%|█████████▍| 145/154 [00:14<00:00, 10.19it/s]
test_batch (1.320):  95%|█████████▍| 146/154 [00:14<00:00, 10.19it/s]
test_batch (1.308):  95%|█████████▍| 146/154 [00:14<00:00, 10.19it/s]
test_batch (1.325):  95%|█████████▌| 147/154 [00:14<00:00, 10.19it/s]
test_batch (1.325):  96%|█████████▌| 148/154 [00:14<00:00, 10.22it/s]
test_batch (1.300):  96%|█████████▌| 148/154 [00:14<00:00, 10.22it/s]
test_batch (1.342):  97%|█████████▋| 149/154 [00:14<00:00, 10.22it/s]
test_batch (1.342):  97%|█████████▋| 150/154 [00:14<00:00, 10.23it/s]
test_batch (1.276):  97%|█████████▋| 150/154 [00:14<00:00, 10.23it/s]
test_batch (1.300):  98%|█████████▊| 151/154 [00:14<00:00, 10.23it/s]
test_batch (1.300):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.312):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.302):  99%|█████████▉| 153/154 [00:15<00:00, 10.20it/s]
test_batch (1.302): 100%|██████████| 154/154 [00:15<00:00, 10.21it/s]
test_batch (Avg. Loss 1.298, Accuracy 60.1): 100%|██████████| 154/154 [00:15<00:00, 10.21it/s]
test_batch (Avg. Loss 1.298, Accuracy 60.1): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]

ACT I.
                                                                                             
--- EPOCH 3/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.119):   0%|          | 0/1394 [00:00<?, ?it/s]
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train_batch (1.046):   1%|          | 12/1394 [00:03<06:23,  3.61it/s]
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train_batch (1.083):   1%|          | 13/1394 [00:03<06:23,  3.60it/s]
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train_batch (1.083):   1%|          | 14/1394 [00:04<06:23,  3.60it/s]
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train_batch (1.079):   1%|          | 15/1394 [00:04<06:22,  3.61it/s]
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train_batch (1.042):   1%|          | 17/1394 [00:05<06:22,  3.60it/s]
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train_batch (1.063):   1%|▏         | 19/1394 [00:05<06:22,  3.60it/s]
train_batch (1.063):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (1.050):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (1.050):   2%|▏         | 21/1394 [00:05<06:22,  3.59it/s]
train_batch (1.028):   2%|▏         | 21/1394 [00:06<06:22,  3.59it/s]
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train_batch (1.034):   2%|▏         | 22/1394 [00:06<06:21,  3.59it/s]
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train_batch (1.032):   2%|▏         | 23/1394 [00:06<06:21,  3.60it/s]
train_batch (1.032):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (1.021):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
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train_batch (1.010):   2%|▏         | 25/1394 [00:07<06:20,  3.60it/s]
train_batch (1.010):   2%|▏         | 26/1394 [00:07<06:19,  3.60it/s]
train_batch (1.081):   2%|▏         | 26/1394 [00:07<06:19,  3.60it/s]
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train_batch (1.048):   2%|▏         | 27/1394 [00:07<06:19,  3.60it/s]
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train_batch (1.027):   2%|▏         | 28/1394 [00:08<06:19,  3.60it/s]
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train_batch (1.013):   2%|▏         | 29/1394 [00:08<06:19,  3.59it/s]
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train_batch (1.043):   2%|▏         | 30/1394 [00:08<06:19,  3.60it/s]
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train_batch (1.079):   2%|▏         | 31/1394 [00:08<06:19,  3.59it/s]
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train_batch (1.026):   2%|▏         | 32/1394 [00:09<06:19,  3.59it/s]
train_batch (1.026):   2%|▏         | 33/1394 [00:09<06:18,  3.60it/s]
train_batch (1.066):   2%|▏         | 33/1394 [00:09<06:18,  3.60it/s]
train_batch (1.066):   2%|▏         | 34/1394 [00:09<06:17,  3.60it/s]
train_batch (1.016):   2%|▏         | 34/1394 [00:09<06:17,  3.60it/s]
train_batch (1.016):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.061):   3%|▎         | 35/1394 [00:10<06:17,  3.60it/s]
train_batch (1.061):   3%|▎         | 36/1394 [00:10<06:17,  3.60it/s]
train_batch (1.040):   3%|▎         | 36/1394 [00:10<06:17,  3.60it/s]
train_batch (1.040):   3%|▎         | 37/1394 [00:10<06:16,  3.60it/s]
train_batch (1.036):   3%|▎         | 37/1394 [00:10<06:16,  3.60it/s]
train_batch (1.036):   3%|▎         | 38/1394 [00:10<06:16,  3.60it/s]
train_batch (1.016):   3%|▎         | 38/1394 [00:10<06:16,  3.60it/s]
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train_batch (1.030):   3%|▎         | 39/1394 [00:11<06:16,  3.60it/s]
train_batch (1.030):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
train_batch (1.054):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
train_batch (1.054):   3%|▎         | 41/1394 [00:11<06:15,  3.61it/s]
train_batch (1.019):   3%|▎         | 41/1394 [00:11<06:15,  3.61it/s]
train_batch (1.019):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (1.034):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
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train_batch (1.034):   3%|▎         | 43/1394 [00:12<06:14,  3.60it/s]
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train_batch (1.033):   3%|▎         | 44/1394 [00:12<06:14,  3.60it/s]
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train_batch (1.020):   3%|▎         | 45/1394 [00:12<06:14,  3.60it/s]
train_batch (1.020):   3%|▎         | 46/1394 [00:12<06:15,  3.59it/s]
train_batch (1.016):   3%|▎         | 46/1394 [00:13<06:15,  3.59it/s]
train_batch (1.016):   3%|▎         | 47/1394 [00:13<06:14,  3.60it/s]
train_batch (1.001):   3%|▎         | 47/1394 [00:13<06:14,  3.60it/s]
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train_batch (1.011):   3%|▎         | 48/1394 [00:13<06:13,  3.60it/s]
train_batch (1.011):   4%|▎         | 49/1394 [00:13<06:13,  3.60it/s]
train_batch (1.037):   4%|▎         | 49/1394 [00:13<06:13,  3.60it/s]
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train_batch (1.048):   4%|▎         | 50/1394 [00:14<06:12,  3.60it/s]
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train_batch (1.037):   4%|▎         | 51/1394 [00:14<06:12,  3.60it/s]
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test_batch (1.306):  77%|███████▋  | 119/154 [00:11<00:03, 10.23it/s]
test_batch (1.306):  78%|███████▊  | 120/154 [00:11<00:03, 10.18it/s]
test_batch (1.280):  78%|███████▊  | 120/154 [00:11<00:03, 10.18it/s]
test_batch (1.318):  79%|███████▊  | 121/154 [00:11<00:03, 10.18it/s]
test_batch (1.318):  79%|███████▉  | 122/154 [00:11<00:03, 10.21it/s]
test_batch (1.274):  79%|███████▉  | 122/154 [00:12<00:03, 10.21it/s]
test_batch (1.351):  80%|███████▉  | 123/154 [00:12<00:03, 10.21it/s]
test_batch (1.351):  81%|████████  | 124/154 [00:12<00:02, 10.23it/s]
test_batch (1.298):  81%|████████  | 124/154 [00:12<00:02, 10.23it/s]
test_batch (1.310):  81%|████████  | 125/154 [00:12<00:02, 10.23it/s]
test_batch (1.310):  82%|████████▏ | 126/154 [00:12<00:02, 10.23it/s]
test_batch (1.333):  82%|████████▏ | 126/154 [00:12<00:02, 10.23it/s]
test_batch (1.325):  82%|████████▏ | 127/154 [00:12<00:02, 10.23it/s]
test_batch (1.325):  83%|████████▎ | 128/154 [00:12<00:02, 10.23it/s]
test_batch (1.329):  83%|████████▎ | 128/154 [00:12<00:02, 10.23it/s]
test_batch (1.302):  84%|████████▍ | 129/154 [00:12<00:02, 10.23it/s]
test_batch (1.302):  84%|████████▍ | 130/154 [00:12<00:02, 10.25it/s]
test_batch (1.299):  84%|████████▍ | 130/154 [00:12<00:02, 10.25it/s]
test_batch (1.361):  85%|████████▌ | 131/154 [00:12<00:02, 10.25it/s]
test_batch (1.361):  86%|████████▌ | 132/154 [00:12<00:02, 10.27it/s]
test_batch (1.342):  86%|████████▌ | 132/154 [00:12<00:02, 10.27it/s]
test_batch (1.341):  86%|████████▋ | 133/154 [00:13<00:02, 10.27it/s]
test_batch (1.341):  87%|████████▋ | 134/154 [00:13<00:01, 10.26it/s]
test_batch (1.287):  87%|████████▋ | 134/154 [00:13<00:01, 10.26it/s]
test_batch (1.327):  88%|████████▊ | 135/154 [00:13<00:01, 10.26it/s]
test_batch (1.327):  88%|████████▊ | 136/154 [00:13<00:01, 10.21it/s]
test_batch (1.265):  88%|████████▊ | 136/154 [00:13<00:01, 10.21it/s]
test_batch (1.305):  89%|████████▉ | 137/154 [00:13<00:01, 10.21it/s]
test_batch (1.305):  90%|████████▉ | 138/154 [00:13<00:01, 10.23it/s]
test_batch (1.299):  90%|████████▉ | 138/154 [00:13<00:01, 10.23it/s]
test_batch (1.319):  90%|█████████ | 139/154 [00:13<00:01, 10.23it/s]
test_batch (1.319):  91%|█████████ | 140/154 [00:13<00:01, 10.22it/s]
test_batch (1.345):  91%|█████████ | 140/154 [00:13<00:01, 10.22it/s]
test_batch (1.334):  92%|█████████▏| 141/154 [00:13<00:01, 10.22it/s]
test_batch (1.334):  92%|█████████▏| 142/154 [00:13<00:01, 10.24it/s]
test_batch (1.311):  92%|█████████▏| 142/154 [00:13<00:01, 10.24it/s]
test_batch (1.306):  93%|█████████▎| 143/154 [00:14<00:01, 10.24it/s]
test_batch (1.306):  94%|█████████▎| 144/154 [00:14<00:00, 10.22it/s]
test_batch (1.350):  94%|█████████▎| 144/154 [00:14<00:00, 10.22it/s]
test_batch (1.331):  94%|█████████▍| 145/154 [00:14<00:00, 10.22it/s]
test_batch (1.331):  95%|█████████▍| 146/154 [00:14<00:00, 10.24it/s]
test_batch (1.315):  95%|█████████▍| 146/154 [00:14<00:00, 10.24it/s]
test_batch (1.331):  95%|█████████▌| 147/154 [00:14<00:00, 10.24it/s]
test_batch (1.331):  96%|█████████▌| 148/154 [00:14<00:00, 10.22it/s]
test_batch (1.303):  96%|█████████▌| 148/154 [00:14<00:00, 10.22it/s]
test_batch (1.337):  97%|█████████▋| 149/154 [00:14<00:00, 10.22it/s]
test_batch (1.337):  97%|█████████▋| 150/154 [00:14<00:00, 10.19it/s]
test_batch (1.283):  97%|█████████▋| 150/154 [00:14<00:00, 10.19it/s]
test_batch (1.302):  98%|█████████▊| 151/154 [00:14<00:00, 10.19it/s]
test_batch (1.302):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.309):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.303):  99%|█████████▉| 153/154 [00:15<00:00, 10.20it/s]
test_batch (1.303): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]
test_batch (Avg. Loss 1.307, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]
test_batch (Avg. Loss 1.307, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.24it/s]

ACT I.
                                                                                            E
--- EPOCH 4/50 ---
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test_batch (1.317):  75%|███████▌  | 116/154 [00:11<00:03, 10.21it/s]
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test_batch (1.328):  77%|███████▋  | 118/154 [00:11<00:03, 10.24it/s]
test_batch (1.342):  77%|███████▋  | 118/154 [00:11<00:03, 10.24it/s]
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test_batch (1.352):  81%|████████  | 124/154 [00:12<00:02, 10.21it/s]
test_batch (1.297):  81%|████████  | 124/154 [00:12<00:02, 10.21it/s]
test_batch (1.305):  81%|████████  | 125/154 [00:12<00:02, 10.21it/s]
test_batch (1.305):  82%|████████▏ | 126/154 [00:12<00:02, 10.24it/s]
test_batch (1.331):  82%|████████▏ | 126/154 [00:12<00:02, 10.24it/s]
test_batch (1.325):  82%|████████▏ | 127/154 [00:12<00:02, 10.24it/s]
test_batch (1.325):  83%|████████▎ | 128/154 [00:12<00:02, 10.25it/s]
test_batch (1.326):  83%|████████▎ | 128/154 [00:12<00:02, 10.25it/s]
test_batch (1.295):  84%|████████▍ | 129/154 [00:12<00:02, 10.25it/s]
test_batch (1.295):  84%|████████▍ | 130/154 [00:12<00:02, 10.23it/s]
test_batch (1.298):  84%|████████▍ | 130/154 [00:12<00:02, 10.23it/s]
test_batch (1.372):  85%|████████▌ | 131/154 [00:12<00:02, 10.23it/s]
test_batch (1.372):  86%|████████▌ | 132/154 [00:12<00:02, 10.22it/s]
test_batch (1.334):  86%|████████▌ | 132/154 [00:13<00:02, 10.22it/s]
test_batch (1.335):  86%|████████▋ | 133/154 [00:13<00:02, 10.22it/s]
test_batch (1.335):  87%|████████▋ | 134/154 [00:13<00:01, 10.23it/s]
test_batch (1.282):  87%|████████▋ | 134/154 [00:13<00:01, 10.23it/s]
test_batch (1.313):  88%|████████▊ | 135/154 [00:13<00:01, 10.23it/s]
test_batch (1.313):  88%|████████▊ | 136/154 [00:13<00:01, 10.22it/s]
test_batch (1.261):  88%|████████▊ | 136/154 [00:13<00:01, 10.22it/s]
test_batch (1.315):  89%|████████▉ | 137/154 [00:13<00:01, 10.22it/s]
test_batch (1.315):  90%|████████▉ | 138/154 [00:13<00:01, 10.21it/s]
test_batch (1.300):  90%|████████▉ | 138/154 [00:13<00:01, 10.21it/s]
test_batch (1.310):  90%|█████████ | 139/154 [00:13<00:01, 10.21it/s]
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test_batch (1.341):  91%|█████████ | 140/154 [00:13<00:01, 10.23it/s]
test_batch (1.342):  92%|█████████▏| 141/154 [00:13<00:01, 10.23it/s]
test_batch (1.342):  92%|█████████▏| 142/154 [00:13<00:01, 10.21it/s]
test_batch (1.311):  92%|█████████▏| 142/154 [00:13<00:01, 10.21it/s]
test_batch (1.313):  93%|█████████▎| 143/154 [00:14<00:01, 10.21it/s]
test_batch (1.313):  94%|█████████▎| 144/154 [00:14<00:00, 10.17it/s]
test_batch (1.345):  94%|█████████▎| 144/154 [00:14<00:00, 10.17it/s]
test_batch (1.337):  94%|█████████▍| 145/154 [00:14<00:00, 10.17it/s]
test_batch (1.337):  95%|█████████▍| 146/154 [00:14<00:00, 10.18it/s]
test_batch (1.316):  95%|█████████▍| 146/154 [00:14<00:00, 10.18it/s]
test_batch (1.333):  95%|█████████▌| 147/154 [00:14<00:00, 10.18it/s]
test_batch (1.333):  96%|█████████▌| 148/154 [00:14<00:00, 10.16it/s]
test_batch (1.303):  96%|█████████▌| 148/154 [00:14<00:00, 10.16it/s]
test_batch (1.334):  97%|█████████▋| 149/154 [00:14<00:00, 10.16it/s]
test_batch (1.334):  97%|█████████▋| 150/154 [00:14<00:00, 10.18it/s]
test_batch (1.283):  97%|█████████▋| 150/154 [00:14<00:00, 10.18it/s]
test_batch (1.307):  98%|█████████▊| 151/154 [00:14<00:00, 10.18it/s]
test_batch (1.307):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.316):  99%|█████████▊| 152/154 [00:14<00:00, 10.20it/s]
test_batch (1.308):  99%|█████████▉| 153/154 [00:15<00:00, 10.20it/s]
test_batch (1.308): 100%|██████████| 154/154 [00:15<00:00, 10.20it/s]
test_batch (Avg. Loss 1.305, Accuracy 59.8): 100%|██████████| 154/154 [00:15<00:00, 10.20it/s]
test_batch (Avg. Loss 1.305, Accuracy 59.8): 100%|██████████| 154/154 [00:15<00:00, 10.22it/s]

ACT I.
                                                                                 Exeunt.

SCE
--- EPOCH 5/50 ---
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test_batch (1.310):  95%|█████████▍| 146/154 [00:14<00:00, 10.25it/s]
test_batch (1.333):  95%|█████████▌| 147/154 [00:14<00:00, 10.25it/s]
test_batch (1.333):  96%|█████████▌| 148/154 [00:14<00:00, 10.26it/s]
test_batch (1.302):  96%|█████████▌| 148/154 [00:14<00:00, 10.26it/s]
test_batch (1.332):  97%|█████████▋| 149/154 [00:14<00:00, 10.26it/s]
test_batch (1.332):  97%|█████████▋| 150/154 [00:14<00:00, 10.25it/s]
test_batch (1.273):  97%|█████████▋| 150/154 [00:14<00:00, 10.25it/s]
test_batch (1.303):  98%|█████████▊| 151/154 [00:14<00:00, 10.25it/s]
test_batch (1.303):  99%|█████████▊| 152/154 [00:14<00:00, 10.24it/s]
test_batch (1.319):  99%|█████████▊| 152/154 [00:14<00:00, 10.24it/s]
test_batch (1.306):  99%|█████████▉| 153/154 [00:15<00:00, 10.24it/s]
test_batch (1.306): 100%|██████████| 154/154 [00:15<00:00, 10.26it/s]
test_batch (Avg. Loss 1.304, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.26it/s]
test_batch (Avg. Loss 1.304, Accuracy 59.9): 100%|██████████| 154/154 [00:15<00:00, 10.24it/s]

ACT I.
                                                                           The King
         
--- EPOCH 6/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
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train_batch (1.010):   0%|          | 1/1394 [00:00<06:37,  3.50it/s]
train_batch (1.010):   0%|          | 2/1394 [00:00<06:29,  3.57it/s]
train_batch (1.044):   0%|          | 2/1394 [00:00<06:29,  3.57it/s]
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test_batch (1.249):  60%|█████▉    | 92/154 [00:09<00:06, 10.27it/s]
test_batch (1.259):  60%|██████    | 93/154 [00:09<00:05, 10.27it/s]
test_batch (1.259):  61%|██████    | 94/154 [00:09<00:05, 10.28it/s]
test_batch (1.255):  61%|██████    | 94/154 [00:09<00:05, 10.28it/s]
test_batch (1.251):  62%|██████▏   | 95/154 [00:09<00:05, 10.28it/s]
test_batch (1.251):  62%|██████▏   | 96/154 [00:09<00:05, 10.28it/s]
test_batch (1.239):  62%|██████▏   | 96/154 [00:09<00:05, 10.28it/s]
test_batch (1.229):  63%|██████▎   | 97/154 [00:09<00:05, 10.28it/s]
test_batch (1.229):  64%|██████▎   | 98/154 [00:09<00:05, 10.28it/s]
test_batch (1.268):  64%|██████▎   | 98/154 [00:09<00:05, 10.28it/s]
test_batch (1.249):  64%|██████▍   | 99/154 [00:09<00:05, 10.28it/s]
test_batch (1.249):  65%|██████▍   | 100/154 [00:09<00:05, 10.27it/s]
test_batch (1.225):  65%|██████▍   | 100/154 [00:09<00:05, 10.27it/s]
test_batch (1.284):  66%|██████▌   | 101/154 [00:09<00:05, 10.27it/s]
test_batch (1.284):  66%|██████▌   | 102/154 [00:09<00:05, 10.27it/s]
test_batch (1.206):  66%|██████▌   | 102/154 [00:10<00:05, 10.27it/s]
test_batch (1.272):  67%|██████▋   | 103/154 [00:10<00:04, 10.27it/s]
test_batch (1.272):  68%|██████▊   | 104/154 [00:10<00:04, 10.27it/s]
test_batch (1.226):  68%|██████▊   | 104/154 [00:10<00:04, 10.27it/s]
test_batch (1.221):  68%|██████▊   | 105/154 [00:10<00:04, 10.27it/s]
test_batch (1.221):  69%|██████▉   | 106/154 [00:10<00:04, 10.27it/s]
test_batch (1.250):  69%|██████▉   | 106/154 [00:10<00:04, 10.27it/s]
test_batch (1.255):  69%|██████▉   | 107/154 [00:10<00:04, 10.27it/s]
test_batch (1.255):  70%|███████   | 108/154 [00:10<00:04, 10.27it/s]
test_batch (1.231):  70%|███████   | 108/154 [00:10<00:04, 10.27it/s]
test_batch (1.242):  71%|███████   | 109/154 [00:10<00:04, 10.27it/s]
test_batch (1.242):  71%|███████▏  | 110/154 [00:10<00:04, 10.26it/s]
test_batch (1.237):  71%|███████▏  | 110/154 [00:10<00:04, 10.26it/s]
test_batch (1.271):  72%|███████▏  | 111/154 [00:10<00:04, 10.26it/s]
test_batch (1.271):  73%|███████▎  | 112/154 [00:10<00:04, 10.25it/s]
test_batch (1.243):  73%|███████▎  | 112/154 [00:11<00:04, 10.25it/s]
test_batch (1.242):  73%|███████▎  | 113/154 [00:11<00:03, 10.25it/s]
test_batch (1.242):  74%|███████▍  | 114/154 [00:11<00:03, 10.26it/s]
test_batch (1.265):  74%|███████▍  | 114/154 [00:11<00:03, 10.26it/s]
test_batch (1.248):  75%|███████▍  | 115/154 [00:11<00:03, 10.26it/s]
test_batch (1.248):  75%|███████▌  | 116/154 [00:11<00:03, 10.27it/s]
test_batch (1.270):  75%|███████▌  | 116/154 [00:11<00:03, 10.27it/s]
test_batch (1.283):  76%|███████▌  | 117/154 [00:11<00:03, 10.27it/s]
test_batch (1.283):  77%|███████▋  | 118/154 [00:11<00:03, 10.27it/s]
test_batch (1.285):  77%|███████▋  | 118/154 [00:11<00:03, 10.27it/s]
test_batch (1.260):  77%|███████▋  | 119/154 [00:11<00:03, 10.27it/s]
test_batch (1.260):  78%|███████▊  | 120/154 [00:11<00:03, 10.23it/s]
test_batch (1.237):  78%|███████▊  | 120/154 [00:11<00:03, 10.23it/s]
test_batch (1.261):  79%|███████▊  | 121/154 [00:11<00:03, 10.23it/s]
test_batch (1.261):  79%|███████▉  | 122/154 [00:11<00:03, 10.22it/s]
test_batch (1.216):  79%|███████▉  | 122/154 [00:12<00:03, 10.22it/s]
test_batch (1.304):  80%|███████▉  | 123/154 [00:12<00:03, 10.22it/s]
test_batch (1.304):  81%|████████  | 124/154 [00:12<00:02, 10.24it/s]
test_batch (1.235):  81%|████████  | 124/154 [00:12<00:02, 10.24it/s]
test_batch (1.253):  81%|████████  | 125/154 [00:12<00:02, 10.24it/s]
test_batch (1.253):  82%|████████▏ | 126/154 [00:12<00:02, 10.25it/s]
test_batch (1.276):  82%|████████▏ | 126/154 [00:12<00:02, 10.25it/s]
test_batch (1.252):  82%|████████▏ | 127/154 [00:12<00:02, 10.25it/s]
test_batch (1.252):  83%|████████▎ | 128/154 [00:12<00:02, 10.26it/s]
test_batch (1.275):  83%|████████▎ | 128/154 [00:12<00:02, 10.26it/s]
test_batch (1.245):  84%|████████▍ | 129/154 [00:12<00:02, 10.26it/s]
test_batch (1.245):  84%|████████▍ | 130/154 [00:12<00:02, 10.26it/s]
test_batch (1.245):  84%|████████▍ | 130/154 [00:12<00:02, 10.26it/s]
test_batch (1.317):  85%|████████▌ | 131/154 [00:12<00:02, 10.26it/s]
test_batch (1.317):  86%|████████▌ | 132/154 [00:12<00:02, 10.26it/s]
test_batch (1.299):  86%|████████▌ | 132/154 [00:12<00:02, 10.26it/s]
test_batch (1.283):  86%|████████▋ | 133/154 [00:13<00:02, 10.26it/s]
test_batch (1.283):  87%|████████▋ | 134/154 [00:13<00:01, 10.26it/s]
test_batch (1.236):  87%|████████▋ | 134/154 [00:13<00:01, 10.26it/s]
test_batch (1.263):  88%|████████▊ | 135/154 [00:13<00:01, 10.26it/s]
test_batch (1.263):  88%|████████▊ | 136/154 [00:13<00:01, 10.26it/s]
test_batch (1.214):  88%|████████▊ | 136/154 [00:13<00:01, 10.26it/s]
test_batch (1.255):  89%|████████▉ | 137/154 [00:13<00:01, 10.26it/s]
test_batch (1.255):  90%|████████▉ | 138/154 [00:13<00:01, 10.27it/s]
test_batch (1.253):  90%|████████▉ | 138/154 [00:13<00:01, 10.27it/s]
test_batch (1.273):  90%|█████████ | 139/154 [00:13<00:01, 10.27it/s]
test_batch (1.273):  91%|█████████ | 140/154 [00:13<00:01, 10.27it/s]
test_batch (1.300):  91%|█████████ | 140/154 [00:13<00:01, 10.27it/s]
test_batch (1.288):  92%|█████████▏| 141/154 [00:13<00:01, 10.27it/s]
test_batch (1.288):  92%|█████████▏| 142/154 [00:13<00:01, 10.27it/s]
test_batch (1.269):  92%|█████████▏| 142/154 [00:13<00:01, 10.27it/s]
test_batch (1.272):  93%|█████████▎| 143/154 [00:14<00:01, 10.27it/s]
test_batch (1.272):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.303):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.279):  94%|█████████▍| 145/154 [00:14<00:00, 10.28it/s]
test_batch (1.279):  95%|█████████▍| 146/154 [00:14<00:00, 10.27it/s]
test_batch (1.270):  95%|█████████▍| 146/154 [00:14<00:00, 10.27it/s]
test_batch (1.285):  95%|█████████▌| 147/154 [00:14<00:00, 10.27it/s]
test_batch (1.285):  96%|█████████▌| 148/154 [00:14<00:00, 10.26it/s]
test_batch (1.253):  96%|█████████▌| 148/154 [00:14<00:00, 10.26it/s]
test_batch (1.286):  97%|█████████▋| 149/154 [00:14<00:00, 10.26it/s]
test_batch (1.286):  97%|█████████▋| 150/154 [00:14<00:00, 10.27it/s]
test_batch (1.228):  97%|█████████▋| 150/154 [00:14<00:00, 10.27it/s]
test_batch (1.260):  98%|█████████▊| 151/154 [00:14<00:00, 10.27it/s]
test_batch (1.260):  99%|█████████▊| 152/154 [00:14<00:00, 10.26it/s]
test_batch (1.267):  99%|█████████▊| 152/154 [00:14<00:00, 10.26it/s]
test_batch (1.246):  99%|█████████▉| 153/154 [00:15<00:00, 10.26it/s]
test_batch (1.246): 100%|██████████| 154/154 [00:15<00:00, 10.27it/s]
test_batch (Avg. Loss 1.256, Accuracy 61.3): 100%|██████████| 154/154 [00:15<00:00, 10.27it/s]
test_batch (Avg. Loss 1.256, Accuracy 61.3): 100%|██████████| 154/154 [00:15<00:00, 10.25it/s]

ACT I.
                                                                                             
--- EPOCH 7/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.100):   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.100):   0%|          | 1/1394 [00:00<06:35,  3.53it/s]
train_batch (0.985):   0%|          | 1/1394 [00:00<06:35,  3.53it/s]
train_batch (0.985):   0%|          | 2/1394 [00:00<06:29,  3.57it/s]
train_batch (1.025):   0%|          | 2/1394 [00:00<06:29,  3.57it/s]
train_batch (1.025):   0%|          | 3/1394 [00:00<06:30,  3.57it/s]
train_batch (0.991):   0%|          | 3/1394 [00:01<06:30,  3.57it/s]
train_batch (0.991):   0%|          | 4/1394 [00:01<06:27,  3.59it/s]
train_batch (1.061):   0%|          | 4/1394 [00:01<06:27,  3.59it/s]
train_batch (1.061):   0%|          | 5/1394 [00:01<06:26,  3.60it/s]
train_batch (1.024):   0%|          | 5/1394 [00:01<06:26,  3.60it/s]
train_batch (1.024):   0%|          | 6/1394 [00:01<06:26,  3.59it/s]
train_batch (0.992):   0%|          | 6/1394 [00:01<06:26,  3.59it/s]
train_batch (0.992):   1%|          | 7/1394 [00:01<06:25,  3.60it/s]
train_batch (1.046):   1%|          | 7/1394 [00:02<06:25,  3.60it/s]
train_batch (1.046):   1%|          | 8/1394 [00:02<06:24,  3.60it/s]
train_batch (1.022):   1%|          | 8/1394 [00:02<06:24,  3.60it/s]
train_batch (1.022):   1%|          | 9/1394 [00:02<06:24,  3.60it/s]
train_batch (1.005):   1%|          | 9/1394 [00:02<06:24,  3.60it/s]
train_batch (1.005):   1%|          | 10/1394 [00:02<06:24,  3.60it/s]
train_batch (1.025):   1%|          | 10/1394 [00:03<06:24,  3.60it/s]
train_batch (1.025):   1%|          | 11/1394 [00:03<06:23,  3.60it/s]
train_batch (1.041):   1%|          | 11/1394 [00:03<06:23,  3.60it/s]
train_batch (1.041):   1%|          | 12/1394 [00:03<06:23,  3.60it/s]
train_batch (1.014):   1%|          | 12/1394 [00:03<06:23,  3.60it/s]
train_batch (1.014):   1%|          | 13/1394 [00:03<06:23,  3.61it/s]
train_batch (1.034):   1%|          | 13/1394 [00:03<06:23,  3.61it/s]
train_batch (1.034):   1%|          | 14/1394 [00:03<06:23,  3.60it/s]
train_batch (1.051):   1%|          | 14/1394 [00:04<06:23,  3.60it/s]
train_batch (1.051):   1%|          | 15/1394 [00:04<06:23,  3.60it/s]
train_batch (1.049):   1%|          | 15/1394 [00:04<06:23,  3.60it/s]
train_batch (1.049):   1%|          | 16/1394 [00:04<06:22,  3.60it/s]
train_batch (1.053):   1%|          | 16/1394 [00:04<06:22,  3.60it/s]
train_batch (1.053):   1%|          | 17/1394 [00:04<06:22,  3.60it/s]
train_batch (1.012):   1%|          | 17/1394 [00:05<06:22,  3.60it/s]
train_batch (1.012):   1%|▏         | 18/1394 [00:05<06:21,  3.60it/s]
train_batch (1.005):   1%|▏         | 18/1394 [00:05<06:21,  3.60it/s]
train_batch (1.005):   1%|▏         | 19/1394 [00:05<06:22,  3.60it/s]
train_batch (1.033):   1%|▏         | 19/1394 [00:05<06:22,  3.60it/s]
train_batch (1.033):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (1.015):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (1.015):   2%|▏         | 21/1394 [00:05<06:21,  3.60it/s]
train_batch (1.001):   2%|▏         | 21/1394 [00:06<06:21,  3.60it/s]
train_batch (1.001):   2%|▏         | 22/1394 [00:06<06:21,  3.60it/s]
train_batch (1.015):   2%|▏         | 22/1394 [00:06<06:21,  3.60it/s]
train_batch (1.015):   2%|▏         | 23/1394 [00:06<06:21,  3.60it/s]
train_batch (1.014):   2%|▏         | 23/1394 [00:06<06:21,  3.60it/s]
train_batch (1.014):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (0.990):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (0.990):   2%|▏         | 25/1394 [00:06<06:20,  3.59it/s]
train_batch (0.975):   2%|▏         | 25/1394 [00:07<06:20,  3.59it/s]
train_batch (0.975):   2%|▏         | 26/1394 [00:07<06:20,  3.60it/s]
train_batch (1.049):   2%|▏         | 26/1394 [00:07<06:20,  3.60it/s]
train_batch (1.049):   2%|▏         | 27/1394 [00:07<06:19,  3.60it/s]
train_batch (1.021):   2%|▏         | 27/1394 [00:07<06:19,  3.60it/s]
train_batch (1.021):   2%|▏         | 28/1394 [00:07<06:19,  3.60it/s]
train_batch (0.995):   2%|▏         | 28/1394 [00:08<06:19,  3.60it/s]
train_batch (0.995):   2%|▏         | 29/1394 [00:08<06:18,  3.60it/s]
train_batch (0.984):   2%|▏         | 29/1394 [00:08<06:18,  3.60it/s]
train_batch (0.984):   2%|▏         | 30/1394 [00:08<06:17,  3.61it/s]
train_batch (1.014):   2%|▏         | 30/1394 [00:08<06:17,  3.61it/s]
train_batch (1.014):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.041):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.041):   2%|▏         | 32/1394 [00:08<06:17,  3.61it/s]
train_batch (1.001):   2%|▏         | 32/1394 [00:09<06:17,  3.61it/s]
train_batch (1.001):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.040):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.040):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.986):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.986):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.029):   3%|▎         | 35/1394 [00:10<06:17,  3.60it/s]
train_batch (1.029):   3%|▎         | 36/1394 [00:10<06:16,  3.60it/s]
train_batch (1.012):   3%|▎         | 36/1394 [00:10<06:16,  3.60it/s]
train_batch (1.012):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (1.002):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (1.002):   3%|▎         | 38/1394 [00:10<06:16,  3.60it/s]
train_batch (0.998):   3%|▎         | 38/1394 [00:10<06:16,  3.60it/s]
train_batch (0.998):   3%|▎         | 39/1394 [00:10<06:16,  3.60it/s]
train_batch (0.998):   3%|▎         | 39/1394 [00:11<06:16,  3.60it/s]
train_batch (0.998):   3%|▎         | 40/1394 [00:11<06:16,  3.60it/s]
train_batch (1.025):   3%|▎         | 40/1394 [00:11<06:16,  3.60it/s]
train_batch (1.025):   3%|▎         | 41/1394 [00:11<06:16,  3.60it/s]
train_batch (0.996):   3%|▎         | 41/1394 [00:11<06:16,  3.60it/s]
train_batch (0.996):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (1.004):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (1.004):   3%|▎         | 43/1394 [00:11<06:15,  3.60it/s]
train_batch (1.018):   3%|▎         | 43/1394 [00:12<06:15,  3.60it/s]
train_batch (1.018):   3%|▎         | 44/1394 [00:12<06:14,  3.60it/s]
train_batch (1.006):   3%|▎         | 44/1394 [00:12<06:14,  3.60it/s]
train_batch (1.006):   3%|▎         | 45/1394 [00:12<06:14,  3.60it/s]
train_batch (0.992):   3%|▎         | 45/1394 [00:12<06:14,  3.60it/s]
train_batch (0.992):   3%|▎         | 46/1394 [00:12<06:13,  3.60it/s]
train_batch (0.996):   3%|▎         | 46/1394 [00:13<06:13,  3.60it/s]
train_batch (0.996):   3%|▎         | 47/1394 [00:13<06:13,  3.60it/s]
train_batch (0.972):   3%|▎         | 47/1394 [00:13<06:13,  3.60it/s]
train_batch (0.972):   3%|▎         | 48/1394 [00:13<06:13,  3.61it/s]
train_batch (0.980):   3%|▎         | 48/1394 [00:13<06:13,  3.61it/s]
train_batch (0.980):   4%|▎         | 49/1394 [00:13<06:12,  3.61it/s]
train_batch (1.014):   4%|▎         | 49/1394 [00:13<06:12,  3.61it/s]
train_batch (1.014):   4%|▎         | 50/1394 [00:13<06:12,  3.61it/s]
train_batch (1.009):   4%|▎         | 50/1394 [00:14<06:12,  3.61it/s]
train_batch (1.009):   4%|▎         | 51/1394 [00:14<06:11,  3.61it/s]
train_batch (1.018):   4%|▎         | 51/1394 [00:14<06:11,  3.61it/s]
train_batch (1.018):   4%|▎         | 52/1394 [00:14<06:11,  3.61it/s]
train_batch (1.028):   4%|▎         | 52/1394 [00:14<06:11,  3.61it/s]
train_batch (1.028):   4%|▍         | 53/1394 [00:14<06:11,  3.61it/s]
train_batch (1.033):   4%|▍         | 53/1394 [00:14<06:11,  3.61it/s]
train_batch (1.033):   4%|▍         | 54/1394 [00:14<06:11,  3.61it/s]
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test_batch (Avg. Loss 1.252, Accuracy 61.4): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]
test_batch (Avg. Loss 1.252, Accuracy 61.4): 100%|██████████| 154/154 [00:15<00:00, 10.25it/s]

ACT I.
                                                                                             
--- EPOCH 8/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.086):   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.086):   0%|          | 1/1394 [00:00<06:36,  3.51it/s]
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train_batch (1.039):   1%|          | 7/1394 [00:02<06:25,  3.60it/s]
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train_batch (1.006):   1%|          | 12/1394 [00:03<06:22,  3.61it/s]
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train_batch (1.002):   1%|          | 17/1394 [00:04<06:21,  3.61it/s]
train_batch (1.002):   1%|▏         | 18/1394 [00:04<06:20,  3.62it/s]
train_batch (0.994):   1%|▏         | 18/1394 [00:05<06:20,  3.62it/s]
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train_batch (1.026):   1%|▏         | 19/1394 [00:05<06:20,  3.62it/s]
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train_batch (1.006):   1%|▏         | 20/1394 [00:05<06:20,  3.61it/s]
train_batch (1.006):   2%|▏         | 21/1394 [00:05<06:20,  3.61it/s]
train_batch (0.993):   2%|▏         | 21/1394 [00:06<06:20,  3.61it/s]
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train_batch (1.007):   2%|▏         | 22/1394 [00:06<06:19,  3.62it/s]
train_batch (1.007):   2%|▏         | 23/1394 [00:06<06:19,  3.61it/s]
train_batch (1.007):   2%|▏         | 23/1394 [00:06<06:19,  3.61it/s]
train_batch (1.007):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (0.981):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (0.981):   2%|▏         | 25/1394 [00:06<06:19,  3.61it/s]
train_batch (0.968):   2%|▏         | 25/1394 [00:07<06:19,  3.61it/s]
train_batch (0.968):   2%|▏         | 26/1394 [00:07<06:18,  3.61it/s]
train_batch (1.040):   2%|▏         | 26/1394 [00:07<06:18,  3.61it/s]
train_batch (1.040):   2%|▏         | 27/1394 [00:07<06:18,  3.62it/s]
train_batch (1.013):   2%|▏         | 27/1394 [00:07<06:18,  3.62it/s]
train_batch (1.013):   2%|▏         | 28/1394 [00:07<06:18,  3.61it/s]
train_batch (0.986):   2%|▏         | 28/1394 [00:08<06:18,  3.61it/s]
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train_batch (0.977):   2%|▏         | 29/1394 [00:08<06:18,  3.61it/s]
train_batch (0.977):   2%|▏         | 30/1394 [00:08<06:18,  3.61it/s]
train_batch (1.006):   2%|▏         | 30/1394 [00:08<06:18,  3.61it/s]
train_batch (1.006):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.034):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.034):   2%|▏         | 32/1394 [00:08<06:17,  3.61it/s]
train_batch (0.992):   2%|▏         | 32/1394 [00:09<06:17,  3.61it/s]
train_batch (0.992):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.031):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.031):   2%|▏         | 34/1394 [00:09<06:17,  3.61it/s]
train_batch (0.977):   2%|▏         | 34/1394 [00:09<06:17,  3.61it/s]
train_batch (0.977):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.020):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.020):   3%|▎         | 36/1394 [00:09<06:16,  3.61it/s]
train_batch (1.006):   3%|▎         | 36/1394 [00:10<06:16,  3.61it/s]
train_batch (1.006):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (0.994):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (0.994):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.992):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.992):   3%|▎         | 39/1394 [00:10<06:15,  3.61it/s]
train_batch (0.991):   3%|▎         | 39/1394 [00:11<06:15,  3.61it/s]
train_batch (0.991):   3%|▎         | 40/1394 [00:11<06:15,  3.61it/s]
train_batch (1.019):   3%|▎         | 40/1394 [00:11<06:15,  3.61it/s]
train_batch (1.019):   3%|▎         | 41/1394 [00:11<06:15,  3.61it/s]
train_batch (0.990):   3%|▎         | 41/1394 [00:11<06:15,  3.61it/s]
train_batch (0.990):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (0.996):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
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train_batch (1.009):   3%|▎         | 43/1394 [00:12<06:14,  3.61it/s]
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train_batch (0.996):   3%|▎         | 44/1394 [00:12<06:13,  3.61it/s]
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train_batch (0.983):   3%|▎         | 45/1394 [00:12<06:14,  3.61it/s]
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train_batch (0.990):   3%|▎         | 46/1394 [00:13<06:13,  3.61it/s]
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train_batch (0.963):   3%|▎         | 47/1394 [00:13<06:13,  3.61it/s]
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train_batch (0.973):   3%|▎         | 48/1394 [00:13<06:13,  3.60it/s]
train_batch (0.973):   4%|▎         | 49/1394 [00:13<06:14,  3.59it/s]
train_batch (1.008):   4%|▎         | 49/1394 [00:13<06:14,  3.59it/s]
train_batch (1.008):   4%|▎         | 50/1394 [00:13<06:12,  3.60it/s]
train_batch (1.001):   4%|▎         | 50/1394 [00:14<06:12,  3.60it/s]
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train_batch (1.011):   4%|▎         | 51/1394 [00:14<06:13,  3.60it/s]
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train_batch (1.026):   4%|▍         | 53/1394 [00:14<06:12,  3.60it/s]
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train_batch (0.992):   4%|▍         | 54/1394 [00:15<06:11,  3.60it/s]
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train_batch (1.017):   4%|▍         | 55/1394 [00:15<06:11,  3.60it/s]
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train_batch (1.002):   4%|▍         | 56/1394 [00:15<06:11,  3.61it/s]
train_batch (1.002):   4%|▍         | 57/1394 [00:15<06:10,  3.60it/s]
train_batch (0.999):   4%|▍         | 57/1394 [00:16<06:10,  3.60it/s]
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test_batch (1.263):  52%|█████▏    | 80/154 [00:07<00:07, 10.27it/s]
test_batch (1.224):  53%|█████▎    | 81/154 [00:07<00:07, 10.27it/s]
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test_batch (1.257):  55%|█████▍    | 84/154 [00:08<00:06, 10.29it/s]
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test_batch (1.232):  56%|█████▌    | 86/154 [00:08<00:06, 10.29it/s]
test_batch (1.269):  56%|█████▋    | 87/154 [00:08<00:06, 10.29it/s]
test_batch (1.269):  57%|█████▋    | 88/154 [00:08<00:06, 10.29it/s]
test_batch (1.280):  57%|█████▋    | 88/154 [00:08<00:06, 10.29it/s]
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test_batch (1.285):  58%|█████▊    | 90/154 [00:08<00:06, 10.30it/s]
test_batch (1.266):  58%|█████▊    | 90/154 [00:08<00:06, 10.30it/s]
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test_batch (1.245):  60%|█████▉    | 92/154 [00:09<00:06, 10.28it/s]
test_batch (1.251):  60%|██████    | 93/154 [00:09<00:05, 10.28it/s]
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test_batch (1.232):  62%|██████▏   | 96/154 [00:09<00:05, 10.29it/s]
test_batch (1.223):  63%|██████▎   | 97/154 [00:09<00:05, 10.29it/s]
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test_batch (1.224):  68%|██████▊   | 104/154 [00:10<00:04, 10.27it/s]
test_batch (1.216):  68%|██████▊   | 105/154 [00:10<00:04, 10.27it/s]
test_batch (1.216):  69%|██████▉   | 106/154 [00:10<00:04, 10.25it/s]
test_batch (1.246):  69%|██████▉   | 106/154 [00:10<00:04, 10.25it/s]
test_batch (1.250):  69%|██████▉   | 107/154 [00:10<00:04, 10.25it/s]
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test_batch (1.223):  70%|███████   | 108/154 [00:10<00:04, 10.25it/s]
test_batch (1.237):  71%|███████   | 109/154 [00:10<00:04, 10.25it/s]
test_batch (1.237):  71%|███████▏  | 110/154 [00:10<00:04, 10.26it/s]
test_batch (1.230):  71%|███████▏  | 110/154 [00:10<00:04, 10.26it/s]
test_batch (1.264):  72%|███████▏  | 111/154 [00:10<00:04, 10.26it/s]
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test_batch (1.236):  73%|███████▎  | 112/154 [00:11<00:04, 10.27it/s]
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test_batch (1.237):  74%|███████▍  | 114/154 [00:11<00:03, 10.27it/s]
test_batch (1.261):  74%|███████▍  | 114/154 [00:11<00:03, 10.27it/s]
test_batch (1.244):  75%|███████▍  | 115/154 [00:11<00:03, 10.27it/s]
test_batch (1.244):  75%|███████▌  | 116/154 [00:11<00:03, 10.27it/s]
test_batch (1.267):  75%|███████▌  | 116/154 [00:11<00:03, 10.27it/s]
test_batch (1.274):  76%|███████▌  | 117/154 [00:11<00:03, 10.27it/s]
test_batch (1.274):  77%|███████▋  | 118/154 [00:11<00:03, 10.27it/s]
test_batch (1.279):  77%|███████▋  | 118/154 [00:11<00:03, 10.27it/s]
test_batch (1.256):  77%|███████▋  | 119/154 [00:11<00:03, 10.27it/s]
test_batch (1.256):  78%|███████▊  | 120/154 [00:11<00:03, 10.27it/s]
test_batch (1.235):  78%|███████▊  | 120/154 [00:11<00:03, 10.27it/s]
test_batch (1.257):  79%|███████▊  | 121/154 [00:11<00:03, 10.27it/s]
test_batch (1.257):  79%|███████▉  | 122/154 [00:11<00:03, 10.23it/s]
test_batch (1.210):  79%|███████▉  | 122/154 [00:11<00:03, 10.23it/s]
test_batch (1.299):  80%|███████▉  | 123/154 [00:12<00:03, 10.23it/s]
test_batch (1.299):  81%|████████  | 124/154 [00:12<00:02, 10.22it/s]
test_batch (1.229):  81%|████████  | 124/154 [00:12<00:02, 10.22it/s]
test_batch (1.248):  81%|████████  | 125/154 [00:12<00:02, 10.22it/s]
test_batch (1.248):  82%|████████▏ | 126/154 [00:12<00:02, 10.24it/s]
test_batch (1.271):  82%|████████▏ | 126/154 [00:12<00:02, 10.24it/s]
test_batch (1.247):  82%|████████▏ | 127/154 [00:12<00:02, 10.24it/s]
test_batch (1.247):  83%|████████▎ | 128/154 [00:12<00:02, 10.25it/s]
test_batch (1.265):  83%|████████▎ | 128/154 [00:12<00:02, 10.25it/s]
test_batch (1.238):  84%|████████▍ | 129/154 [00:12<00:02, 10.25it/s]
test_batch (1.238):  84%|████████▍ | 130/154 [00:12<00:02, 10.25it/s]
test_batch (1.241):  84%|████████▍ | 130/154 [00:12<00:02, 10.25it/s]
test_batch (1.310):  85%|████████▌ | 131/154 [00:12<00:02, 10.25it/s]
test_batch (1.310):  86%|████████▌ | 132/154 [00:12<00:02, 10.26it/s]
test_batch (1.296):  86%|████████▌ | 132/154 [00:12<00:02, 10.26it/s]
test_batch (1.276):  86%|████████▋ | 133/154 [00:13<00:02, 10.26it/s]
test_batch (1.276):  87%|████████▋ | 134/154 [00:13<00:01, 10.25it/s]
test_batch (1.228):  87%|████████▋ | 134/154 [00:13<00:01, 10.25it/s]
test_batch (1.258):  88%|████████▊ | 135/154 [00:13<00:01, 10.25it/s]
test_batch (1.258):  88%|████████▊ | 136/154 [00:13<00:01, 10.26it/s]
test_batch (1.210):  88%|████████▊ | 136/154 [00:13<00:01, 10.26it/s]
test_batch (1.252):  89%|████████▉ | 137/154 [00:13<00:01, 10.26it/s]
test_batch (1.252):  90%|████████▉ | 138/154 [00:13<00:01, 10.28it/s]
test_batch (1.248):  90%|████████▉ | 138/154 [00:13<00:01, 10.28it/s]
test_batch (1.267):  90%|█████████ | 139/154 [00:13<00:01, 10.28it/s]
test_batch (1.267):  91%|█████████ | 140/154 [00:13<00:01, 10.29it/s]
test_batch (1.300):  91%|█████████ | 140/154 [00:13<00:01, 10.29it/s]
test_batch (1.286):  92%|█████████▏| 141/154 [00:13<00:01, 10.29it/s]
test_batch (1.286):  92%|█████████▏| 142/154 [00:13<00:01, 10.26it/s]
test_batch (1.267):  92%|█████████▏| 142/154 [00:13<00:01, 10.26it/s]
test_batch (1.269):  93%|█████████▎| 143/154 [00:14<00:01, 10.26it/s]
test_batch (1.269):  94%|█████████▎| 144/154 [00:14<00:00, 10.26it/s]
test_batch (1.298):  94%|█████████▎| 144/154 [00:14<00:00, 10.26it/s]
test_batch (1.270):  94%|█████████▍| 145/154 [00:14<00:00, 10.26it/s]
test_batch (1.270):  95%|█████████▍| 146/154 [00:14<00:00, 10.27it/s]
test_batch (1.263):  95%|█████████▍| 146/154 [00:14<00:00, 10.27it/s]
test_batch (1.280):  95%|█████████▌| 147/154 [00:14<00:00, 10.27it/s]
test_batch (1.280):  96%|█████████▌| 148/154 [00:14<00:00, 10.28it/s]
test_batch (1.250):  96%|█████████▌| 148/154 [00:14<00:00, 10.28it/s]
test_batch (1.281):  97%|█████████▋| 149/154 [00:14<00:00, 10.28it/s]
test_batch (1.281):  97%|█████████▋| 150/154 [00:14<00:00, 10.28it/s]
test_batch (1.227):  97%|█████████▋| 150/154 [00:14<00:00, 10.28it/s]
test_batch (1.255):  98%|█████████▊| 151/154 [00:14<00:00, 10.28it/s]
test_batch (1.255):  99%|█████████▊| 152/154 [00:14<00:00, 10.29it/s]
test_batch (1.261):  99%|█████████▊| 152/154 [00:14<00:00, 10.29it/s]
test_batch (1.241):  99%|█████████▉| 153/154 [00:14<00:00, 10.29it/s]
test_batch (1.241): 100%|██████████| 154/154 [00:14<00:00, 10.27it/s]
test_batch (Avg. Loss 1.251, Accuracy 61.4): 100%|██████████| 154/154 [00:14<00:00, 10.27it/s]
test_batch (Avg. Loss 1.251, Accuracy 61.4): 100%|██████████| 154/154 [00:14<00:00, 10.27it/s]

ACT I.
                                                                                             
--- EPOCH 9/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.078):   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.078):   0%|          | 1/1394 [00:00<06:35,  3.53it/s]
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train_batch (1.010):   0%|          | 2/1394 [00:00<06:28,  3.58it/s]
train_batch (1.010):   0%|          | 3/1394 [00:00<06:25,  3.61it/s]
train_batch (0.975):   0%|          | 3/1394 [00:01<06:25,  3.61it/s]
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train_batch (0.979):   0%|          | 6/1394 [00:01<06:23,  3.62it/s]
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train_batch (1.033):   1%|          | 7/1394 [00:02<06:23,  3.61it/s]
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train_batch (0.992):   1%|          | 9/1394 [00:02<06:23,  3.61it/s]
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train_batch (1.011):   1%|          | 10/1394 [00:03<06:23,  3.61it/s]
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train_batch (1.027):   1%|          | 11/1394 [00:03<06:22,  3.61it/s]
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train_batch (1.001):   1%|          | 12/1394 [00:03<06:22,  3.61it/s]
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train_batch (1.039):   1%|          | 14/1394 [00:04<06:22,  3.61it/s]
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train_batch (1.036):   1%|          | 15/1394 [00:04<06:22,  3.61it/s]
train_batch (1.036):   1%|          | 16/1394 [00:04<06:22,  3.60it/s]
train_batch (1.038):   1%|          | 16/1394 [00:04<06:22,  3.60it/s]
train_batch (1.038):   1%|          | 17/1394 [00:04<06:21,  3.61it/s]
train_batch (0.995):   1%|          | 17/1394 [00:04<06:21,  3.61it/s]
train_batch (0.995):   1%|▏         | 18/1394 [00:04<06:21,  3.61it/s]
train_batch (0.988):   1%|▏         | 18/1394 [00:05<06:21,  3.61it/s]
train_batch (0.988):   1%|▏         | 19/1394 [00:05<06:21,  3.60it/s]
train_batch (1.021):   1%|▏         | 19/1394 [00:05<06:21,  3.60it/s]
train_batch (1.021):   1%|▏         | 20/1394 [00:05<06:20,  3.61it/s]
train_batch (1.000):   1%|▏         | 20/1394 [00:05<06:20,  3.61it/s]
train_batch (1.000):   2%|▏         | 21/1394 [00:05<06:20,  3.61it/s]
train_batch (0.988):   2%|▏         | 21/1394 [00:06<06:20,  3.61it/s]
train_batch (0.988):   2%|▏         | 22/1394 [00:06<06:19,  3.61it/s]
train_batch (1.001):   2%|▏         | 22/1394 [00:06<06:19,  3.61it/s]
train_batch (1.001):   2%|▏         | 23/1394 [00:06<06:20,  3.60it/s]
train_batch (1.002):   2%|▏         | 23/1394 [00:06<06:20,  3.60it/s]
train_batch (1.002):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
train_batch (0.975):   2%|▏         | 24/1394 [00:06<06:20,  3.60it/s]
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train_batch (0.963):   2%|▏         | 25/1394 [00:07<06:19,  3.61it/s]
train_batch (0.963):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
train_batch (1.033):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
train_batch (1.033):   2%|▏         | 27/1394 [00:07<06:18,  3.61it/s]
train_batch (1.007):   2%|▏         | 27/1394 [00:07<06:18,  3.61it/s]
train_batch (1.007):   2%|▏         | 28/1394 [00:07<06:17,  3.62it/s]
train_batch (0.980):   2%|▏         | 28/1394 [00:08<06:17,  3.62it/s]
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train_batch (0.971):   2%|▏         | 29/1394 [00:08<06:17,  3.62it/s]
train_batch (0.971):   2%|▏         | 30/1394 [00:08<06:18,  3.61it/s]
train_batch (1.000):   2%|▏         | 30/1394 [00:08<06:18,  3.61it/s]
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train_batch (1.028):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.028):   2%|▏         | 32/1394 [00:08<06:16,  3.61it/s]
train_batch (0.986):   2%|▏         | 32/1394 [00:09<06:16,  3.61it/s]
train_batch (0.986):   2%|▏         | 33/1394 [00:09<06:16,  3.61it/s]
train_batch (1.024):   2%|▏         | 33/1394 [00:09<06:16,  3.61it/s]
train_batch (1.024):   2%|▏         | 34/1394 [00:09<06:17,  3.61it/s]
train_batch (0.971):   2%|▏         | 34/1394 [00:09<06:17,  3.61it/s]
train_batch (0.971):   3%|▎         | 35/1394 [00:09<06:16,  3.61it/s]
train_batch (1.015):   3%|▎         | 35/1394 [00:09<06:16,  3.61it/s]
train_batch (1.015):   3%|▎         | 36/1394 [00:09<06:16,  3.61it/s]
train_batch (1.002):   3%|▎         | 36/1394 [00:10<06:16,  3.61it/s]
train_batch (1.002):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (0.988):   3%|▎         | 37/1394 [00:10<06:16,  3.61it/s]
train_batch (0.988):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.988):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.988):   3%|▎         | 39/1394 [00:10<06:15,  3.61it/s]
train_batch (0.987):   3%|▎         | 39/1394 [00:11<06:15,  3.61it/s]
train_batch (0.987):   3%|▎         | 40/1394 [00:11<06:15,  3.61it/s]
train_batch (1.014):   3%|▎         | 40/1394 [00:11<06:15,  3.61it/s]
train_batch (1.014):   3%|▎         | 41/1394 [00:11<06:14,  3.61it/s]
train_batch (0.985):   3%|▎         | 41/1394 [00:11<06:14,  3.61it/s]
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train_batch (0.990):   3%|▎         | 42/1394 [00:11<06:14,  3.61it/s]
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train_batch (1.004):   3%|▎         | 43/1394 [00:12<06:14,  3.61it/s]
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train_batch (0.990):   3%|▎         | 44/1394 [00:12<06:14,  3.61it/s]
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test_batch (1.300):  91%|█████████ | 140/154 [00:13<00:01, 10.28it/s]
test_batch (1.287):  92%|█████████▏| 141/154 [00:13<00:01, 10.28it/s]
test_batch (1.287):  92%|█████████▏| 142/154 [00:13<00:01, 10.28it/s]
test_batch (1.266):  92%|█████████▏| 142/154 [00:13<00:01, 10.28it/s]
test_batch (1.269):  93%|█████████▎| 143/154 [00:14<00:01, 10.28it/s]
test_batch (1.269):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.297):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.269):  94%|█████████▍| 145/154 [00:14<00:00, 10.28it/s]
test_batch (1.269):  95%|█████████▍| 146/154 [00:14<00:00, 10.28it/s]
test_batch (1.260):  95%|█████████▍| 146/154 [00:14<00:00, 10.28it/s]
test_batch (1.279):  95%|█████████▌| 147/154 [00:14<00:00, 10.28it/s]
test_batch (1.279):  96%|█████████▌| 148/154 [00:14<00:00, 10.28it/s]
test_batch (1.249):  96%|█████████▌| 148/154 [00:14<00:00, 10.28it/s]
test_batch (1.281):  97%|█████████▋| 149/154 [00:14<00:00, 10.28it/s]
test_batch (1.281):  97%|█████████▋| 150/154 [00:14<00:00, 10.27it/s]
test_batch (1.227):  97%|█████████▋| 150/154 [00:14<00:00, 10.27it/s]
test_batch (1.256):  98%|█████████▊| 151/154 [00:14<00:00, 10.27it/s]
test_batch (1.256):  99%|█████████▊| 152/154 [00:14<00:00, 10.26it/s]
test_batch (1.261):  99%|█████████▊| 152/154 [00:14<00:00, 10.26it/s]
test_batch (1.241):  99%|█████████▉| 153/154 [00:15<00:00, 10.26it/s]
test_batch (1.241): 100%|██████████| 154/154 [00:15<00:00, 10.27it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.27it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.27it/s]

ACT I.
                                        Alexandria. ANTONY'S house

                  Enter L
--- EPOCH 10/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.072):   0%|          | 0/1394 [00:00<?, ?it/s]
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train_batch (0.996):   1%|          | 12/1394 [00:03<06:23,  3.60it/s]
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train_batch (1.032):   1%|          | 16/1394 [00:04<06:22,  3.61it/s]
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train_batch (0.989):   1%|          | 17/1394 [00:05<06:22,  3.60it/s]
train_batch (0.989):   1%|▏         | 18/1394 [00:05<06:22,  3.60it/s]
train_batch (0.982):   1%|▏         | 18/1394 [00:05<06:22,  3.60it/s]
train_batch (0.982):   1%|▏         | 19/1394 [00:05<06:22,  3.59it/s]
train_batch (1.017):   1%|▏         | 19/1394 [00:05<06:22,  3.59it/s]
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train_batch (0.996):   1%|▏         | 20/1394 [00:05<06:22,  3.59it/s]
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train_batch (0.984):   2%|▏         | 21/1394 [00:06<06:21,  3.60it/s]
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train_batch (0.959):   2%|▏         | 25/1394 [00:07<06:20,  3.60it/s]
train_batch (0.959):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
train_batch (1.028):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
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train_batch (1.003):   2%|▏         | 27/1394 [00:07<06:18,  3.61it/s]
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train_batch (1.024):   2%|▏         | 31/1394 [00:08<06:18,  3.60it/s]
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train_batch (0.981):   2%|▏         | 32/1394 [00:09<06:18,  3.60it/s]
train_batch (0.981):   2%|▏         | 33/1394 [00:09<06:18,  3.60it/s]
train_batch (1.019):   2%|▏         | 33/1394 [00:09<06:18,  3.60it/s]
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train_batch (0.967):   2%|▏         | 34/1394 [00:09<06:17,  3.60it/s]
train_batch (0.967):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.011):   3%|▎         | 35/1394 [00:10<06:17,  3.60it/s]
train_batch (1.011):   3%|▎         | 36/1394 [00:10<06:17,  3.59it/s]
train_batch (0.998):   3%|▎         | 36/1394 [00:10<06:17,  3.59it/s]
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train_batch (0.984):   3%|▎         | 37/1394 [00:10<06:17,  3.59it/s]
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train_batch (0.985):   3%|▎         | 39/1394 [00:10<06:16,  3.60it/s]
train_batch (0.984):   3%|▎         | 39/1394 [00:11<06:16,  3.60it/s]
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train_batch (1.011):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
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train_batch (0.999):   3%|▎         | 43/1394 [00:12<06:14,  3.61it/s]
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*** Saved checkpoint checkpoints/rnn.pt at epoch 10
ACT I.
                                                                                 DUKE OF NORF
--- EPOCH 11/50 ---
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*** Saved checkpoint checkpoints/rnn.pt at epoch 11
ACT I.
                                                                                             
--- EPOCH 12/50 ---
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*** Saved checkpoint checkpoints/rnn.pt at epoch 12
ACT I.
                                                                                             
--- EPOCH 13/50 ---
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test_batch (1.248):  60%|██████    | 93/154 [00:09<00:05, 10.26it/s]
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test_batch (1.247):  61%|██████    | 94/154 [00:09<00:05, 10.26it/s]
test_batch (1.244):  62%|██████▏   | 95/154 [00:09<00:05, 10.26it/s]
test_batch (1.244):  62%|██████▏   | 96/154 [00:09<00:05, 10.27it/s]
test_batch (1.230):  62%|██████▏   | 96/154 [00:09<00:05, 10.27it/s]
test_batch (1.224):  63%|██████▎   | 97/154 [00:09<00:05, 10.27it/s]
test_batch (1.224):  64%|██████▎   | 98/154 [00:09<00:05, 10.26it/s]
test_batch (1.259):  64%|██████▎   | 98/154 [00:09<00:05, 10.26it/s]
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test_batch (1.241):  65%|██████▍   | 100/154 [00:09<00:05, 10.25it/s]
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test_batch (1.214):  69%|██████▉   | 106/154 [00:10<00:04, 10.27it/s]
test_batch (1.243):  69%|██████▉   | 106/154 [00:10<00:04, 10.27it/s]
test_batch (1.249):  69%|██████▉   | 107/154 [00:10<00:04, 10.27it/s]
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test_batch (1.219):  70%|███████   | 108/154 [00:10<00:04, 10.27it/s]
test_batch (1.240):  71%|███████   | 109/154 [00:10<00:04, 10.27it/s]
test_batch (1.240):  71%|███████▏  | 110/154 [00:10<00:04, 10.27it/s]
test_batch (1.229):  71%|███████▏  | 110/154 [00:10<00:04, 10.27it/s]
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test_batch (1.261):  73%|███████▎  | 112/154 [00:10<00:04, 10.27it/s]
test_batch (1.235):  73%|███████▎  | 112/154 [00:11<00:04, 10.27it/s]
test_batch (1.235):  73%|███████▎  | 113/154 [00:11<00:03, 10.27it/s]
test_batch (1.235):  74%|███████▍  | 114/154 [00:11<00:03, 10.26it/s]
test_batch (1.264):  74%|███████▍  | 114/154 [00:11<00:03, 10.26it/s]
test_batch (1.248):  75%|███████▍  | 115/154 [00:11<00:03, 10.26it/s]
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test_batch (1.269):  75%|███████▌  | 116/154 [00:11<00:03, 10.27it/s]
test_batch (1.272):  76%|███████▌  | 117/154 [00:11<00:03, 10.27it/s]
test_batch (1.272):  77%|███████▋  | 118/154 [00:11<00:03, 10.26it/s]
test_batch (1.276):  77%|███████▋  | 118/154 [00:11<00:03, 10.26it/s]
test_batch (1.254):  77%|███████▋  | 119/154 [00:11<00:03, 10.26it/s]
test_batch (1.254):  78%|███████▊  | 120/154 [00:11<00:03, 10.26it/s]
test_batch (1.236):  78%|███████▊  | 120/154 [00:11<00:03, 10.26it/s]
test_batch (1.256):  79%|███████▊  | 121/154 [00:11<00:03, 10.26it/s]
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test_batch (1.208):  79%|███████▉  | 122/154 [00:11<00:03, 10.26it/s]
test_batch (1.302):  80%|███████▉  | 123/154 [00:12<00:03, 10.26it/s]
test_batch (1.302):  81%|████████  | 124/154 [00:12<00:02, 10.28it/s]
test_batch (1.225):  81%|████████  | 124/154 [00:12<00:02, 10.28it/s]
test_batch (1.245):  81%|████████  | 125/154 [00:12<00:02, 10.28it/s]
test_batch (1.245):  82%|████████▏ | 126/154 [00:12<00:02, 10.28it/s]
test_batch (1.270):  82%|████████▏ | 126/154 [00:12<00:02, 10.28it/s]
test_batch (1.244):  82%|████████▏ | 127/154 [00:12<00:02, 10.28it/s]
test_batch (1.244):  83%|████████▎ | 128/154 [00:12<00:02, 10.28it/s]
test_batch (1.262):  83%|████████▎ | 128/154 [00:12<00:02, 10.28it/s]
test_batch (1.235):  84%|████████▍ | 129/154 [00:12<00:02, 10.28it/s]
test_batch (1.235):  84%|████████▍ | 130/154 [00:12<00:02, 10.28it/s]
test_batch (1.240):  84%|████████▍ | 130/154 [00:12<00:02, 10.28it/s]
test_batch (1.308):  85%|████████▌ | 131/154 [00:12<00:02, 10.28it/s]
test_batch (1.308):  86%|████████▌ | 132/154 [00:12<00:02, 10.29it/s]
test_batch (1.296):  86%|████████▌ | 132/154 [00:12<00:02, 10.29it/s]
test_batch (1.276):  86%|████████▋ | 133/154 [00:13<00:02, 10.29it/s]
test_batch (1.276):  87%|████████▋ | 134/154 [00:13<00:01, 10.29it/s]
test_batch (1.225):  87%|████████▋ | 134/154 [00:13<00:01, 10.29it/s]
test_batch (1.257):  88%|████████▊ | 135/154 [00:13<00:01, 10.29it/s]
test_batch (1.257):  88%|████████▊ | 136/154 [00:13<00:01, 10.29it/s]
test_batch (1.211):  88%|████████▊ | 136/154 [00:13<00:01, 10.29it/s]
test_batch (1.254):  89%|████████▉ | 137/154 [00:13<00:01, 10.29it/s]
test_batch (1.254):  90%|████████▉ | 138/154 [00:13<00:01, 10.29it/s]
test_batch (1.249):  90%|████████▉ | 138/154 [00:13<00:01, 10.29it/s]
test_batch (1.268):  90%|█████████ | 139/154 [00:13<00:01, 10.29it/s]
test_batch (1.268):  91%|█████████ | 140/154 [00:13<00:01, 10.29it/s]
test_batch (1.303):  91%|█████████ | 140/154 [00:13<00:01, 10.29it/s]
test_batch (1.289):  92%|█████████▏| 141/154 [00:13<00:01, 10.29it/s]
test_batch (1.289):  92%|█████████▏| 142/154 [00:13<00:01, 10.29it/s]
test_batch (1.267):  92%|█████████▏| 142/154 [00:13<00:01, 10.29it/s]
test_batch (1.268):  93%|█████████▎| 143/154 [00:14<00:01, 10.29it/s]
test_batch (1.268):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.297):  94%|█████████▎| 144/154 [00:14<00:00, 10.28it/s]
test_batch (1.268):  94%|█████████▍| 145/154 [00:14<00:00, 10.28it/s]
test_batch (1.268):  95%|█████████▍| 146/154 [00:14<00:00, 10.29it/s]
test_batch (1.258):  95%|█████████▍| 146/154 [00:14<00:00, 10.29it/s]
test_batch (1.278):  95%|█████████▌| 147/154 [00:14<00:00, 10.29it/s]
test_batch (1.278):  96%|█████████▌| 148/154 [00:14<00:00, 10.29it/s]
test_batch (1.249):  96%|█████████▌| 148/154 [00:14<00:00, 10.29it/s]
test_batch (1.280):  97%|█████████▋| 149/154 [00:14<00:00, 10.29it/s]
test_batch (1.280):  97%|█████████▋| 150/154 [00:14<00:00, 10.29it/s]
test_batch (1.229):  97%|█████████▋| 150/154 [00:14<00:00, 10.29it/s]
test_batch (1.259):  98%|█████████▊| 151/154 [00:14<00:00, 10.29it/s]
test_batch (1.259):  99%|█████████▊| 152/154 [00:14<00:00, 10.29it/s]
test_batch (1.262):  99%|█████████▊| 152/154 [00:14<00:00, 10.29it/s]
test_batch (1.243):  99%|█████████▉| 153/154 [00:14<00:00, 10.29it/s]
test_batch (1.243): 100%|██████████| 154/154 [00:14<00:00, 10.30it/s]
test_batch (Avg. Loss 1.249, Accuracy 61.5): 100%|██████████| 154/154 [00:14<00:00, 10.30it/s]
test_batch (Avg. Loss 1.249, Accuracy 61.5): 100%|██████████| 154/154 [00:14<00:00, 10.27it/s]

ACT I.
                                                                                Exeunt

SCENE
--- EPOCH 14/50 ---
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train_batch (1.016):   2%|▏         | 26/1394 [00:07<06:20,  3.60it/s]
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train_batch (0.990):   2%|▏         | 27/1394 [00:07<06:19,  3.60it/s]
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train_batch (0.970):   2%|▏         | 32/1394 [00:09<06:18,  3.60it/s]
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train_batch (1.005):   2%|▏         | 33/1394 [00:09<06:18,  3.60it/s]
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train_batch (0.955):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (1.000):   3%|▎         | 35/1394 [00:10<06:17,  3.60it/s]
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train_batch (0.988):   3%|▎         | 36/1394 [00:10<06:16,  3.60it/s]
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train_batch (1.001):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
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test_batch (1.278):  95%|█████████▌| 147/154 [00:14<00:00, 10.21it/s]
test_batch (1.278):  96%|█████████▌| 148/154 [00:14<00:00, 10.21it/s]
test_batch (1.249):  96%|█████████▌| 148/154 [00:14<00:00, 10.21it/s]
test_batch (1.280):  97%|█████████▋| 149/154 [00:14<00:00, 10.21it/s]
test_batch (1.280):  97%|█████████▋| 150/154 [00:14<00:00, 10.24it/s]
test_batch (1.229):  97%|█████████▋| 150/154 [00:14<00:00, 10.24it/s]
test_batch (1.260):  98%|█████████▊| 151/154 [00:14<00:00, 10.24it/s]
test_batch (1.260):  99%|█████████▊| 152/154 [00:14<00:00, 10.24it/s]
test_batch (1.263):  99%|█████████▊| 152/154 [00:14<00:00, 10.24it/s]
test_batch (1.244):  99%|█████████▉| 153/154 [00:15<00:00, 10.24it/s]
test_batch (1.244): 100%|██████████| 154/154 [00:15<00:00, 10.24it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.24it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.25it/s]

ACT I.
                                                                              TIMON, and LADI
--- EPOCH 15/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.056):   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.056):   0%|          | 1/1394 [00:00<06:34,  3.53it/s]
train_batch (0.950):   0%|          | 1/1394 [00:00<06:34,  3.53it/s]
train_batch (0.950):   0%|          | 2/1394 [00:00<06:28,  3.58it/s]
train_batch (0.989):   0%|          | 2/1394 [00:00<06:28,  3.58it/s]
train_batch (0.989):   0%|          | 3/1394 [00:00<06:26,  3.59it/s]
train_batch (0.954):   0%|          | 3/1394 [00:01<06:26,  3.59it/s]
train_batch (0.954):   0%|          | 4/1394 [00:01<06:26,  3.60it/s]
train_batch (1.021):   0%|          | 4/1394 [00:01<06:26,  3.60it/s]
train_batch (1.021):   0%|          | 5/1394 [00:01<06:25,  3.60it/s]
train_batch (0.984):   0%|          | 5/1394 [00:01<06:25,  3.60it/s]
train_batch (0.984):   0%|          | 6/1394 [00:01<06:25,  3.60it/s]
train_batch (0.960):   0%|          | 6/1394 [00:01<06:25,  3.60it/s]
train_batch (0.960):   1%|          | 7/1394 [00:01<06:25,  3.60it/s]
train_batch (1.016):   1%|          | 7/1394 [00:02<06:25,  3.60it/s]
train_batch (1.016):   1%|          | 8/1394 [00:02<06:24,  3.61it/s]
train_batch (0.993):   1%|          | 8/1394 [00:02<06:24,  3.61it/s]
train_batch (0.993):   1%|          | 9/1394 [00:02<06:24,  3.61it/s]
train_batch (0.974):   1%|          | 9/1394 [00:02<06:24,  3.61it/s]
train_batch (0.974):   1%|          | 10/1394 [00:02<06:24,  3.60it/s]
train_batch (0.992):   1%|          | 10/1394 [00:03<06:24,  3.60it/s]
train_batch (0.992):   1%|          | 11/1394 [00:03<06:23,  3.61it/s]
train_batch (1.008):   1%|          | 11/1394 [00:03<06:23,  3.61it/s]
train_batch (1.008):   1%|          | 12/1394 [00:03<06:24,  3.59it/s]
train_batch (0.983):   1%|          | 12/1394 [00:03<06:24,  3.59it/s]
train_batch (0.983):   1%|          | 13/1394 [00:03<06:24,  3.59it/s]
train_batch (1.000):   1%|          | 13/1394 [00:03<06:24,  3.59it/s]
train_batch (1.000):   1%|          | 14/1394 [00:03<06:23,  3.60it/s]
train_batch (1.021):   1%|          | 14/1394 [00:04<06:23,  3.60it/s]
train_batch (1.021):   1%|          | 15/1394 [00:04<06:23,  3.60it/s]
train_batch (1.018):   1%|          | 15/1394 [00:04<06:23,  3.60it/s]
train_batch (1.018):   1%|          | 16/1394 [00:04<06:23,  3.59it/s]
train_batch (1.021):   1%|          | 16/1394 [00:04<06:23,  3.59it/s]
train_batch (1.021):   1%|          | 17/1394 [00:04<06:22,  3.60it/s]
train_batch (0.974):   1%|          | 17/1394 [00:05<06:22,  3.60it/s]
train_batch (0.974):   1%|▏         | 18/1394 [00:05<06:21,  3.60it/s]
train_batch (0.966):   1%|▏         | 18/1394 [00:05<06:21,  3.60it/s]
train_batch (0.966):   1%|▏         | 19/1394 [00:05<06:21,  3.60it/s]
train_batch (1.002):   1%|▏         | 19/1394 [00:05<06:21,  3.60it/s]
train_batch (1.002):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (0.980):   1%|▏         | 20/1394 [00:05<06:21,  3.60it/s]
train_batch (0.980):   2%|▏         | 21/1394 [00:05<06:21,  3.60it/s]
train_batch (0.970):   2%|▏         | 21/1394 [00:06<06:21,  3.60it/s]
train_batch (0.970):   2%|▏         | 22/1394 [00:06<06:21,  3.60it/s]
train_batch (0.983):   2%|▏         | 22/1394 [00:06<06:21,  3.60it/s]
train_batch (0.983):   2%|▏         | 23/1394 [00:06<06:21,  3.60it/s]
train_batch (0.982):   2%|▏         | 23/1394 [00:06<06:21,  3.60it/s]
train_batch (0.982):   2%|▏         | 24/1394 [00:06<06:19,  3.61it/s]
train_batch (0.957):   2%|▏         | 24/1394 [00:06<06:19,  3.61it/s]
train_batch (0.957):   2%|▏         | 25/1394 [00:06<06:19,  3.61it/s]
train_batch (0.944):   2%|▏         | 25/1394 [00:07<06:19,  3.61it/s]
train_batch (0.944):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
train_batch (1.013):   2%|▏         | 26/1394 [00:07<06:19,  3.61it/s]
train_batch (1.013):   2%|▏         | 27/1394 [00:07<06:18,  3.61it/s]
train_batch (0.988):   2%|▏         | 27/1394 [00:07<06:18,  3.61it/s]
train_batch (0.988):   2%|▏         | 28/1394 [00:07<06:18,  3.61it/s]
train_batch (0.964):   2%|▏         | 28/1394 [00:08<06:18,  3.61it/s]
train_batch (0.964):   2%|▏         | 29/1394 [00:08<06:18,  3.60it/s]
train_batch (0.953):   2%|▏         | 29/1394 [00:08<06:18,  3.60it/s]
train_batch (0.953):   2%|▏         | 30/1394 [00:08<06:18,  3.60it/s]
train_batch (0.981):   2%|▏         | 30/1394 [00:08<06:18,  3.60it/s]
train_batch (0.981):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.010):   2%|▏         | 31/1394 [00:08<06:17,  3.61it/s]
train_batch (1.010):   2%|▏         | 32/1394 [00:08<06:17,  3.61it/s]
train_batch (0.968):   2%|▏         | 32/1394 [00:09<06:17,  3.61it/s]
train_batch (0.968):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.002):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (1.002):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.953):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.953):   3%|▎         | 35/1394 [00:09<06:16,  3.61it/s]
train_batch (0.997):   3%|▎         | 35/1394 [00:09<06:16,  3.61it/s]
train_batch (0.997):   3%|▎         | 36/1394 [00:09<06:16,  3.61it/s]
train_batch (0.987):   3%|▎         | 36/1394 [00:10<06:16,  3.61it/s]
train_batch (0.987):   3%|▎         | 37/1394 [00:10<06:16,  3.60it/s]
train_batch (0.972):   3%|▎         | 37/1394 [00:10<06:16,  3.60it/s]
train_batch (0.972):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.974):   3%|▎         | 38/1394 [00:10<06:15,  3.61it/s]
train_batch (0.974):   3%|▎         | 39/1394 [00:10<06:15,  3.61it/s]
train_batch (0.972):   3%|▎         | 39/1394 [00:11<06:15,  3.61it/s]
train_batch (0.972):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
train_batch (0.999):   3%|▎         | 40/1394 [00:11<06:15,  3.60it/s]
train_batch (0.999):   3%|▎         | 41/1394 [00:11<06:16,  3.60it/s]
train_batch (0.968):   3%|▎         | 41/1394 [00:11<06:16,  3.60it/s]
train_batch (0.968):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (0.973):   3%|▎         | 42/1394 [00:11<06:15,  3.60it/s]
train_batch (0.973):   3%|▎         | 43/1394 [00:11<06:14,  3.60it/s]
train_batch (0.984):   3%|▎         | 43/1394 [00:12<06:14,  3.60it/s]
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train_batch (0.969):   3%|▎         | 44/1394 [00:12<06:14,  3.60it/s]
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train_batch (0.960):   3%|▎         | 45/1394 [00:12<06:14,  3.60it/s]
train_batch (0.960):   3%|▎         | 46/1394 [00:12<06:14,  3.60it/s]
train_batch (0.970):   3%|▎         | 46/1394 [00:13<06:14,  3.60it/s]
train_batch (0.970):   3%|▎         | 47/1394 [00:13<06:13,  3.60it/s]
train_batch (0.942):   3%|▎         | 47/1394 [00:13<06:13,  3.60it/s]
train_batch (0.942):   3%|▎         | 48/1394 [00:13<06:13,  3.60it/s]
train_batch (0.949):   3%|▎         | 48/1394 [00:13<06:13,  3.60it/s]
train_batch (0.949):   4%|▎         | 49/1394 [00:13<06:12,  3.61it/s]
train_batch (0.990):   4%|▎         | 49/1394 [00:13<06:12,  3.61it/s]
train_batch (0.990):   4%|▎         | 50/1394 [00:13<06:12,  3.61it/s]
train_batch (0.981):   4%|▎         | 50/1394 [00:14<06:12,  3.61it/s]
train_batch (0.981):   4%|▎         | 51/1394 [00:14<06:12,  3.60it/s]
train_batch (0.989):   4%|▎         | 51/1394 [00:14<06:12,  3.60it/s]
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train_batch (0.998):   4%|▎         | 52/1394 [00:14<06:12,  3.61it/s]
train_batch (0.998):   4%|▍         | 53/1394 [00:14<06:12,  3.60it/s]
train_batch (1.006):   4%|▍         | 53/1394 [00:14<06:12,  3.60it/s]
train_batch (1.006):   4%|▍         | 54/1394 [00:14<06:12,  3.60it/s]
train_batch (0.971):   4%|▍         | 54/1394 [00:15<06:12,  3.60it/s]
train_batch (0.971):   4%|▍         | 55/1394 [00:15<06:11,  3.60it/s]
train_batch (0.988):   4%|▍         | 55/1394 [00:15<06:11,  3.60it/s]
train_batch (0.988):   4%|▍         | 56/1394 [00:15<06:11,  3.60it/s]
train_batch (0.977):   4%|▍         | 56/1394 [00:15<06:11,  3.60it/s]
train_batch (0.977):   4%|▍         | 57/1394 [00:15<06:10,  3.61it/s]
train_batch (0.982):   4%|▍         | 57/1394 [00:16<06:10,  3.61it/s]
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train_batch (0.963):   4%|▍         | 58/1394 [00:16<06:10,  3.61it/s]
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train_batch (0.996):   4%|▍         | 59/1394 [00:16<06:09,  3.61it/s]
train_batch (0.996):   4%|▍         | 60/1394 [00:16<06:09,  3.61it/s]
train_batch (0.957):   4%|▍         | 60/1394 [00:16<06:09,  3.61it/s]
train_batch (0.957):   4%|▍         | 61/1394 [00:16<06:09,  3.61it/s]
train_batch (1.001):   4%|▍         | 61/1394 [00:17<06:09,  3.61it/s]
train_batch (1.001):   4%|▍         | 62/1394 [00:17<06:09,  3.61it/s]
train_batch (0.964):   4%|▍         | 62/1394 [00:17<06:09,  3.61it/s]
train_batch (0.964):   5%|▍         | 63/1394 [00:17<06:08,  3.61it/s]
train_batch (0.953):   5%|▍         | 63/1394 [00:17<06:08,  3.61it/s]
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train_batch (0.988):   5%|▍         | 64/1394 [00:18<06:09,  3.60it/s]
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train_batch (0.952):   5%|▍         | 65/1394 [00:18<06:09,  3.60it/s]
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train_batch (0.967):   5%|▍         | 66/1394 [00:18<06:09,  3.60it/s]
train_batch (0.967):   5%|▍         | 67/1394 [00:18<06:07,  3.61it/s]
train_batch (0.979):   5%|▍         | 67/1394 [00:18<06:07,  3.61it/s]
train_batch (0.979):   5%|▍         | 68/1394 [00:18<06:07,  3.60it/s]
train_batch (0.961):   5%|▍         | 68/1394 [00:19<06:07,  3.60it/s]
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train_batch (0.979):   5%|▍         | 69/1394 [00:19<06:08,  3.60it/s]
train_batch (0.979):   5%|▌         | 70/1394 [00:19<06:07,  3.60it/s]
train_batch (1.001):   5%|▌         | 70/1394 [00:19<06:07,  3.60it/s]
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train_batch (1.018):   5%|▌         | 71/1394 [00:19<06:07,  3.60it/s]
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train_batch (1.005):   5%|▌         | 72/1394 [00:20<06:07,  3.60it/s]
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train_batch (1.000):   5%|▌         | 73/1394 [00:20<06:06,  3.61it/s]
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train_batch (0.970):   5%|▌         | 76/1394 [00:21<06:05,  3.60it/s]
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train_batch (1.009):   6%|▌         | 79/1394 [00:22<06:05,  3.60it/s]
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*** Saved checkpoint checkpoints/rnn.pt at epoch 15
ACT I.
                                                                      Lord.

                
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test_batch (1.250):  75%|███████▌  | 116/154 [00:11<00:03, 10.25it/s]
test_batch (1.273):  75%|███████▌  | 116/154 [00:11<00:03, 10.25it/s]
test_batch (1.272):  76%|███████▌  | 117/154 [00:11<00:03, 10.25it/s]
test_batch (1.272):  77%|███████▋  | 118/154 [00:11<00:03, 10.26it/s]
test_batch (1.277):  77%|███████▋  | 118/154 [00:11<00:03, 10.26it/s]
test_batch (1.255):  77%|███████▋  | 119/154 [00:11<00:03, 10.26it/s]
test_batch (1.255):  78%|███████▊  | 120/154 [00:11<00:03, 10.26it/s]
test_batch (1.237):  78%|███████▊  | 120/154 [00:11<00:03, 10.26it/s]
test_batch (1.256):  79%|███████▊  | 121/154 [00:11<00:03, 10.26it/s]
test_batch (1.256):  79%|███████▉  | 122/154 [00:11<00:03, 10.25it/s]
test_batch (1.208):  79%|███████▉  | 122/154 [00:12<00:03, 10.25it/s]
test_batch (1.304):  80%|███████▉  | 123/154 [00:12<00:03, 10.25it/s]
test_batch (1.304):  81%|████████  | 124/154 [00:12<00:02, 10.26it/s]
test_batch (1.222):  81%|████████  | 124/154 [00:12<00:02, 10.26it/s]
test_batch (1.245):  81%|████████  | 125/154 [00:12<00:02, 10.26it/s]
test_batch (1.245):  82%|████████▏ | 126/154 [00:12<00:02, 10.27it/s]
test_batch (1.272):  82%|████████▏ | 126/154 [00:12<00:02, 10.27it/s]
test_batch (1.243):  82%|████████▏ | 127/154 [00:12<00:02, 10.27it/s]
test_batch (1.243):  83%|████████▎ | 128/154 [00:12<00:02, 10.27it/s]
test_batch (1.264):  83%|████████▎ | 128/154 [00:12<00:02, 10.27it/s]
test_batch (1.236):  84%|████████▍ | 129/154 [00:12<00:02, 10.27it/s]
test_batch (1.236):  84%|████████▍ | 130/154 [00:12<00:02, 10.27it/s]
test_batch (1.240):  84%|████████▍ | 130/154 [00:12<00:02, 10.27it/s]
test_batch (1.309):  85%|████████▌ | 131/154 [00:12<00:02, 10.27it/s]
test_batch (1.309):  86%|████████▌ | 132/154 [00:12<00:02, 10.25it/s]
test_batch (1.298):  86%|████████▌ | 132/154 [00:12<00:02, 10.25it/s]
test_batch (1.276):  86%|████████▋ | 133/154 [00:13<00:02, 10.25it/s]
test_batch (1.276):  87%|████████▋ | 134/154 [00:13<00:01, 10.23it/s]
test_batch (1.224):  87%|████████▋ | 134/154 [00:13<00:01, 10.23it/s]
test_batch (1.256):  88%|████████▊ | 135/154 [00:13<00:01, 10.23it/s]
test_batch (1.256):  88%|████████▊ | 136/154 [00:13<00:01, 10.24it/s]
test_batch (1.210):  88%|████████▊ | 136/154 [00:13<00:01, 10.24it/s]
test_batch (1.255):  89%|████████▉ | 137/154 [00:13<00:01, 10.24it/s]
test_batch (1.255):  90%|████████▉ | 138/154 [00:13<00:01, 10.24it/s]
test_batch (1.250):  90%|████████▉ | 138/154 [00:13<00:01, 10.24it/s]
test_batch (1.267):  90%|█████████ | 139/154 [00:13<00:01, 10.24it/s]
test_batch (1.267):  91%|█████████ | 140/154 [00:13<00:01, 10.25it/s]
test_batch (1.304):  91%|█████████ | 140/154 [00:13<00:01, 10.25it/s]
test_batch (1.291):  92%|█████████▏| 141/154 [00:13<00:01, 10.25it/s]
test_batch (1.291):  92%|█████████▏| 142/154 [00:13<00:01, 10.23it/s]
test_batch (1.267):  92%|█████████▏| 142/154 [00:13<00:01, 10.23it/s]
test_batch (1.267):  93%|█████████▎| 143/154 [00:14<00:01, 10.23it/s]
test_batch (1.267):  94%|█████████▎| 144/154 [00:14<00:00, 10.23it/s]
test_batch (1.298):  94%|█████████▎| 144/154 [00:14<00:00, 10.23it/s]
test_batch (1.269):  94%|█████████▍| 145/154 [00:14<00:00, 10.23it/s]
test_batch (1.269):  95%|█████████▍| 146/154 [00:14<00:00, 10.22it/s]
test_batch (1.260):  95%|█████████▍| 146/154 [00:14<00:00, 10.22it/s]
test_batch (1.278):  95%|█████████▌| 147/154 [00:14<00:00, 10.22it/s]
test_batch (1.278):  96%|█████████▌| 148/154 [00:14<00:00, 10.20it/s]
test_batch (1.250):  96%|█████████▌| 148/154 [00:14<00:00, 10.20it/s]
test_batch (1.280):  97%|█████████▋| 149/154 [00:14<00:00, 10.20it/s]
test_batch (1.280):  97%|█████████▋| 150/154 [00:14<00:00, 10.20it/s]
test_batch (1.230):  97%|█████████▋| 150/154 [00:14<00:00, 10.20it/s]
test_batch (1.262):  98%|█████████▊| 151/154 [00:14<00:00, 10.20it/s]
test_batch (1.262):  99%|█████████▊| 152/154 [00:14<00:00, 10.21it/s]
test_batch (1.264):  99%|█████████▊| 152/154 [00:14<00:00, 10.21it/s]
test_batch (1.245):  99%|█████████▉| 153/154 [00:15<00:00, 10.21it/s]
test_batch (1.245): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.23it/s]
test_batch (Avg. Loss 1.250, Accuracy 61.5): 100%|██████████| 154/154 [00:15<00:00, 10.24it/s]

ACT I.
                                                                                             
--- EPOCH 17/50 ---
train_batch:   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.052):   0%|          | 0/1394 [00:00<?, ?it/s]
train_batch (1.052):   0%|          | 1/1394 [00:00<06:40,  3.48it/s]
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train_batch (1.017):   1%|          | 14/1394 [00:04<06:23,  3.60it/s]
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train_batch (0.969):   1%|          | 17/1394 [00:05<06:22,  3.60it/s]
train_batch (0.969):   1%|▏         | 18/1394 [00:05<06:21,  3.61it/s]
train_batch (0.962):   1%|▏         | 18/1394 [00:05<06:21,  3.61it/s]
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train_batch (0.998):   1%|▏         | 19/1394 [00:05<06:21,  3.60it/s]
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train_batch (0.940):   2%|▏         | 25/1394 [00:07<06:20,  3.60it/s]
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train_batch (1.009):   2%|▏         | 26/1394 [00:07<06:20,  3.59it/s]
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train_batch (0.984):   2%|▏         | 27/1394 [00:07<06:20,  3.59it/s]
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train_batch (0.961):   2%|▏         | 28/1394 [00:08<06:20,  3.59it/s]
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train_batch (1.006):   2%|▏         | 31/1394 [00:08<06:18,  3.60it/s]
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train_batch (0.965):   2%|▏         | 32/1394 [00:09<06:18,  3.60it/s]
train_batch (0.965):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (0.997):   2%|▏         | 33/1394 [00:09<06:17,  3.61it/s]
train_batch (0.997):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.949):   2%|▏         | 34/1394 [00:09<06:16,  3.61it/s]
train_batch (0.949):   3%|▎         | 35/1394 [00:09<06:17,  3.60it/s]
train_batch (0.993):   3%|▎         | 35/1394 [00:10<06:17,  3.60it/s]
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train_batch (0.983):   3%|▎         | 36/1394 [00:10<06:17,  3.60it/s]
train_batch (0.983):   3%|▎         | 37/1394 [00:10<06:17,  3.60it/s]
train_batch (0.968):   3%|▎         | 37/1394 [00:10<06:17,  3.60it/s]
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train_batch (0.970):   3%|▎         | 38/1394 [00:10<06:17,  3.60it/s]
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train_batch (0.969):   3%|▎         | 39/1394 [00:11<06:16,  3.60it/s]
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train_batch (0.995):   3%|▎         | 40/1394 [00:11<06:15,  3.61it/s]
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train_batch (0.965):   3%|▎         | 41/1394 [00:11<06:15,  3.61it/s]
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train_batch (0.980):   3%|▎         | 43/1394 [00:12<06:14,  3.61it/s]
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train_batch (0.967):   3%|▎         | 46/1394 [00:13<06:13,  3.61it/s]
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train_batch (0.939):   3%|▎         | 47/1394 [00:13<06:13,  3.61it/s]
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train_batch (0.946):   3%|▎         | 48/1394 [00:13<06:13,  3.60it/s]
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train_batch (0.994):   4%|▎         | 52/1394 [00:14<06:13,  3.59it/s]
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train_batch (1.002):   4%|▍         | 53/1394 [00:15<06:12,  3.60it/s]
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train_batch (0.968):   4%|▍         | 54/1394 [00:15<06:12,  3.60it/s]
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train_batch (0.983):   4%|▍         | 55/1394 [00:15<06:12,  3.59it/s]
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train_batch (0.973):   4%|▍         | 56/1394 [00:15<06:12,  3.60it/s]
train_batch (0.973):   4%|▍         | 57/1394 [00:15<06:11,  3.59it/s]
train_batch (0.979):   4%|▍         | 57/1394 [00:16<06:11,  3.59it/s]
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Early stopping after 17 epochs.
No description has been provided for this image

Generating a work of art¶

Armed with our fully trained model, let's generate the next Hamlet! You should experiment with modifying the sampling temperature and see what happens.

The text you generate should “look” like a Shakespeare play: old-style English words and sentence structure, directions for the actors (like “Exit/Enter”), sections (Act I/Scene III) etc. There will be no coherent plot of course, but it should at least seem like a Shakespearean play when not looking too closely. If this is not what you see, go back, debug and/or and re-train.

TODO: Specify the generation parameters in the part1_generation_params() function within the hw3/answers.py module.

In [21]:
from hw3.answers import part1_generation_params

start_seq, temperature = part1_generation_params()

generated_sequence = charnn.generate_from_model(
    model, start_seq, 10000, (char_to_idx,idx_to_char), T=temperature
)

print(generated_sequence)
ACT I.
                      Alexander. Five babes are gallows,
             What he is but this bed,
                  His friends will formal,
                      And hold the stoner]  
                            A castle.

    How now? Who rais'd thee?  
  CAESAR. This is a rack accompant.
  TITUS. Nay, gentle Ere die with my spirits on.
    Sound Caesar, go to Caesar, if thou hast
    To make his forehead or such a giberous lord.
  ANNE. Your sword counsel, have I tonight.
  THIRD CONSPIRATOR. He shall not be so five to the princes.
  FIRST WATCH. Provoked a gentleman.
                                                           [Kisses him]
    And therefore should be contented to him.
  PANDULPH. He is our passion, sweet light or two words,
    Put them home where all, flattery, and free and slave!
    My means to my soul to his life, your hateful doors,
    Doing the pride of Cade, corely come to you.
    I come to her despite. All the flowers
    Whose tender arms is angry with our meaning.
    Shall I be crown'd, and stay not with his side.
    This might have the sport a wingeth council,
    King Henry gives me no man doth mine,
    Can make them bring to the wretched man.
  BASSANIO. You shall please you, anon, and let this charge;
    Some confederacy need not see the King.
  TRANIO. I do not speak but that he is a maid,
    Thou wilt fall that duke nor of the King,
    And with her sons was well due in power
    When an 'Gius is, it seems hard by his professed
    As to point my conscience. Now I see it,
    That I could have been proud. Farewell to you.
  CHARMIAN. I do not know her to their beds; he does be.
    And for these prejugities were all of all
    For this sword and to do with me with his bragghor
    And not my sons- for the other sands,
    Nor from this few monusts, 'for his knife!
    What will I, more than a port as an
    Scalits to the warm Sourching upon this babe,
    Where been as sending all of sleep,
    Fall occation or prey.
  DUKE OF VENICE. Why, good my lord,
    Where's it entreat his power? Do you think,
    Or was she return'd by the customary  
    That he hath a main terms, the interumory,
    That deposed sorrows of the face of hell,
    And wide death broke thine ears and actions
    With thine evil, from whence you will make the vall'd
    The great sound which bears me, should have themselves,
    For some of thine eyes and every second
    Worthy of infections. Hector, we have mounted
    More of the common ground would conceive
    That every stroke of salt with weapons will,
    Come then, being what shall charge the deed,
    Should so corrupt against thy books upon our
    thanks and that.
  SPEED. 'Tis his speech were owed, lest you shall with me down.
  ORLANDO. Do you not thank she? My mother, have you undergo me
    upon him? Well, heaven nor hither we are so having to-day, I will say,
    friend or a fool to be too run'd; there are no such friends! How say you,
    that any knave now to make my play to bed of the throng, or
    he is a good action! Whose water'd weak as that, in mine has
    filing his master.
  SECOND DOCKS. Will he come? What will you?
  BERTRAM. O, the door, good friends. I pray you, let him know
    She was more career, and the law of Cymbeline
    I swear, fresh rebouts for mercy. If 'twere so,
    Each men of which he gave him in the flower
    That Annidus wings, flattering affections!
    Virtue is chider. But all the manner of him.
  LUCILIUS. Great that Julius Caesar weep or affection.
    I do inflier a crest on the seas  
    Are mischief, the truth of my forehead,
    And there abholusion and most hardinant
    I should not speak.
    Thy health, I ask all foel of fear.
    I cannot swear high love as dearer than
    And say 'God, I am content.' 'Scour we pay?
    I serve thee well; but he is very much.
  KING EDWARD. Say 'tis thought of.
  LUCIUS.  [Aside]  The first saw the very friend, yea,
    Upon the bloody deed of nature, now
    I will speak a ludgy unworthy a monther.
    One simple to thy head among the blest,
    If we with your mouth to arms, and other
    Even as she is not thy heavy hand,
    And notice, if she be found mine eyes,
    Should be off to speak- I am ta'en a man.
    Welcome hards, and have him prepare thee up.
    This drum to me, where hast thou been too sure,
    He would be the first to dash the green helms?
    Come, master, give me this night confirmite.
    I am charg'd. There is no bodies will be most
    He's levy.
  CORIOLANUS. Hear me.                                Exeunt

                         SCENE II.
                                     Rome his son
                               Still flinty enter Roderigo.
  LEPIDUS. Go, publicate that I bring him breath;
    And now they shall have good or net but a
    legs, and I pray, though I shall pray for you. But give it with him.
  ALL. Why should he repent?
  TOUCHSTONE. He longs for a woman. He is worse to change four easing that I
    swallowed with the charge.
    It was such petty serious. I am your offer'd by him. Come,
    what would you have you die? And I fear the matter; and what's
    a term for thee again with a knight?
  ISABELLA. I have nobody, be it so, my liege,
    Camillo with fair and worse forth that shall,
    With thy lord, sir, then why thou cross 'a ground;
    And in that fellow shall chance to hold
    The love-sovereign fellow seem so.  
                                                    [KANGERNs] Grace is from the Romans.
    Are you here expire your English judge to you?
  VIOLA. Good morrow, man; there is a trick of spirits
    To any fair shame with a little sun
    Is enter-company. Let me seen a gentleman,
    Lest I can tell you both a promise.
    Why dost thou find out this maid nor lose,
    The rest I think he did conclude for state?
    Poor were eleven good as he reads.
    Go, silence. This summer of the city  
    Is not a husband beseech you, lest they do
    With childishry as thou art all the court,
    To fear his grace, but stealing on my life
    Before and natural sound of the trial.
    Cry 'Ophor's death and commander,
    Bear's his daughter's meaner blood, that makes
    Here to proclaim our standard. There thou less
    Become the fashion of that hand on thee,
    And for an effected in the head,
    Seems or could have better peril of my soul.
    Bade your pains and what I throw away how heaven!
    I beseech your Grace to change my staff,
    And when the picture is as a man;
    And if it be that ancient pleasure,
    Then will I give thee shame to see the comfort,
    Upon what exchange lov'd her own reason,
    By this melancholy vain concealment.
    So may you bury him?
  LEPIDUS. What's this?
    You are like to Macbeth, her friendly spirits-
    The prisoner should not appear upon us.
    That is ready, and pass we should be thee.
  PETRUCHIO. Upon my knee would try you out at Bassanio,
    Call thy subjects do chance to fight again,
    The house, the King, both walking cloaks of me.
    My Lord of York lays the pow'r struck or shore,
    To the best things will show thee from the island
    That drop everen do make him grows the air,
    And the rich manly devils bear down the hand,  
    And the action of a fury of her urge
    The heavy cause can seek the bargain I
    Into your brother's powers that thou shalt bear
    Upon their life, may must anon. Farewell, farewell.
    But ill, sir, we ure no more of the tops.
  PETRUCHIO. A persuasion! Sirrah, what says your mind?  
    Make no matter to me in courtesy
    Were then to our comfort. And thou, Lord Lords,
    My mother sits his fortune. Come, let's requite
    A notard; but she hath been to heaven;
    And as if many cur of sorrow liv'd,
    Shall be to rebel the rest, and three horses
    Of cruel argument, and my hounds!
  GLOUCESTER. She should not speak 'main so love-swearing
    To obey the other that I receiv'd
    The blood o' th' law-pompes of perfect in thin'd.
    Come, man! What men of sweating? What's this?
    He's a neigh with you. I have a purpose
    Have made thee cold.
  MENENIUS. Why, how, ho!
  FIRST LORD. You take my heart that wonders too; I do dispose
    His horns most degree all perpetual marvelle.
    At old Sir Richard Ratcliff. Look, we'll presume
    To leave from our husbandry; yet I shall,
    And in this many may be sounded thee.
    Thou canst not be there, and first, and toward my life,
    Little to our heads of fear and being silence.
  KING PHILIP. Ay, that in an honourable gentleman
    Have bide the nature of your foes as he.
  PORTIA. I cry you mercy, to my name will not.
  CATESBY. I come, Julia.
  MARIA. 'Tis not what I have made us'd a man
    To glorious ear into the belly.
    This is the course of stately gilded gird.
  FIRST SOLDIER. Sweet Sir Neaple, with tears do not put my words.
    There is no need well shalt search me in this heak.
    What profane morning lacks thence away with speed?
                                                              Exeunt

SCENE IV.
Another part of them in Scythian, and Attendants.

  HERALD. I have been small husband and your eye in England
    That she is not to partner.
  TIMON. Excellent peace.
    But by my trespass I do not live.
    You must parley.
  LEONTES. What! away with me?
  IMOGEN. I remember this;
    And then the merry food of courtier.
  GLOUCESTER. The ancient grace shall devour this new yet.
  BUCKINGHAM. Well, give me joy recounters his steward.
    To the Lady, didst thou have thy soul to life.
    What would he confess, for the next youth and,
    Thy vassal made twenty times to see,
    And show this new-made pollute wild offers;
    Patience to our cause alone, and fair
    On him, my mind so bells, the benefit
    Like a frosty kindred teams her chariot,
    And wash his rich siege. But why, she is here!-
    The like untainted is too soft accord
    To see the sea-mouse of proud to defend.
    The

Questions¶

TODO Answer the following questions. Write your answers in the appropriate variables in the module hw3/answers.py.

In [22]:
from cs236781.answers import display_answer
import hw3.answers

Question 1¶

Why do we split the corpus into sequences instead of training on the whole text?

In [23]:
display_answer(hw3.answers.part1_q1)

Your answer:

  1. Memory Constraints (VRAM): Training on the whole text at once would require unrolling the computation graph for the entire length of the corpus. This would consume an impossible amount of memory for storing gradients during Backpropagation Through Time (BPTT). Splitting into sequences allows for Truncated BPTT, which fits in GPU memory.

  2. Vanishing/Exploding Gradients: In extremely long sequences, gradients propagated backward over thousands of time steps tend to either vanish to zero (stopping learning) or explode to infinity (instability). Limiting the sequence length mitigates this issue.

  3. Optimization Efficiency: Splitting the text creates many "samples," allowing us to use mini-batch Stochastic Gradient Descent. This updates the weights frequently (thousands of times per epoch) rather than once per epoch, leading to much faster convergence.

  4. Data Parallelism: Small sequences allow us to stack data into batches (e.g., 64 sequences at a time), maximizing the parallel processing power of the GPU.

Question 2¶

How is it possible that the generated text clearly shows memory longer than the sequence length?

In [24]:
display_answer(hw3.answers.part1_q2)

Your answer:

It is possible because we maintain and propagate the hidden state across batches.

  1. Hidden State Persistence: Although we perform "Truncated Backpropagation Through Time" (cutting off the gradients after seq_len steps to save memory), we do not reset the values of the hidden state between batches. The final hidden state of batch $i$ is fed as the initial hidden state for batch $i+1$.

  2. Forward vs. Backward Horizon: While the gradients (learning signal) can only flow back seq_len seps, the forward pass (context information) flows indefinitely. This allows the network to maintain a "memory" of events that happened many batches ago.

  3. Contiguous Sampling: Our SequenceBatchSampler ensures that the batches are ordered sequentially (the start of batch $i+1$ is the continuation of batch $i$). This alignment allows the persistent hidden state to carry valid context from the previous segment of text to the current one.

Question 3¶

Why are we not shuffling the order of batches when training?

In [25]:
display_answer(hw3.answers.part1_q3)

Your answer:

We do not shuffle because we need to preserve contextual continuity between batches to simulate a much longer sequence.

  1. Stateful Training: We are training in a "stateful" manner, where the final hidden state of batch $i$ is used as the initial hidden state for batch $i+1$. This allows the model's memory (hidden state) to persist over time.

  2. Logical Flow: If we shuffled the batches, the hidden state passed to the network would be from a completely unrelated part of the text (e.g., passing the context of "Chapter 10" into the start of "Chapter 1"). This would break the narrative flow and force the model to reset its context constantly, limiting its effective memory to just the seq_len (e.g., 64 characters).

  3. Long-Term Dependencies: By keeping the order sequential, the forward pass can carry information across thousands of characters (through the hidden state), even though the backward pass (gradient calculation) is truncated to only 64 steps.

Question 4¶

  1. Why do we lower the temperature for sampling (compared to the default of $1.0$)?
  2. What happens when the temperature is very high and why?
  3. What happens when the temperature is very low and why?
In [26]:
display_answer(hw3.answers.part1_q4)

Your answer:

  1. Why lower the temperature (< 1.0)? We lower the temperature to make the model more confident and conservative. A temperature $T < 1$ sharpens the probability distribution, exaggerating the differences between high and low probability characters. This filters out "noise" (low probability options) and ensures the generated text is more coherent, grammatical, and structurally correct, as the model sticks to the patterns it learned most strongly.

  2. What happens when T is very high (> 1.0)? The distribution becomes flatter (more uniform). The differences between likely and unlikely characters shrink. Result: The model takes more risks and selects low-probability characters more often. The text becomes chaotic, contains spelling errors, and eventually turns into gibberish because the model is ignoring its own learned probabilities.

  3. What happens when T is very low (close to 0)? The distribution becomes extremely sharp (approximating an argmax). The probability of the most likely character approaches 1, while all others approach 0. Result: The model becomes deterministic and repetitive. It will often get stuck in loops (e.g., "and the and the and the") because it constantly picks the single most "safe" next character without any variation to break the cycle.

In [ ]:
 

$$ \newcommand{\mat}[1]{\boldsymbol {#1}} \newcommand{\mattr}[1]{\boldsymbol {#1}^\top} \newcommand{\matinv}[1]{\boldsymbol {#1}^{-1}} \newcommand{\vec}[1]{\boldsymbol {#1}} \newcommand{\vectr}[1]{\boldsymbol {#1}^\top} \newcommand{\rvar}[1]{\mathrm {#1}} \newcommand{\rvec}[1]{\boldsymbol{\mathrm{#1}}} \newcommand{\diag}{\mathop{\mathrm {diag}}} \newcommand{\set}[1]{\mathbb {#1}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \newcommand{\pderiv}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\bm}[1]{{\bf #1}} \newcommand{\bb}[1]{\bm{\mathrm{#1}}} $$

Part 2: Variational Autoencoder¶

In this part we will learn to generate new data using a special type of autoencoder model which allows us to sample from its latent space. We'll implement and train a VAE and use it to generate new images.

In [1]:
import unittest
import os
import sys
import pathlib
import urllib
import shutil
import re
import zipfile

import numpy as np
import torch
import matplotlib.pyplot as plt

%load_ext autoreload
%autoreload 2
In [2]:
test = unittest.TestCase()
plt.rcParams.update({'font.size': 12})
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print('Using device:', device)
Using device: cuda

Obtaining the dataset¶

Let's begin by downloading a dataset of images that we want to learn to generate. We'll use the Labeled Faces in the Wild (LFW) dataset which contains many labeled faces of famous individuals.

We're going to train our generative model to generate a specific face, not just any face. Since the person with the most images in this dataset is former president George W. Bush, we'll set out to train a Bush Generator :)

However, if you feel adventurous and/or prefer to generate something else, feel free to edit the PART2_CUSTOM_DATA_URL variable in hw3/answers.py.

In [3]:
import cs236781.plot as plot
import cs236781.download
from hw3.answers import PART2_CUSTOM_DATA_URL as CUSTOM_DATA_URL

DATA_DIR = pathlib.Path.home().joinpath('.pytorch-datasets')
if CUSTOM_DATA_URL is None:
    DATA_URL = 'https://github.com/AviaAvraham1/TempDatasets/raw/refs/heads/main/George_W_Bush2.zip'
else:
    DATA_URL = CUSTOM_DATA_URL

_, dataset_dir = cs236781.download.download_data(out_path=DATA_DIR, url=DATA_URL, extract=True, force=False)
Downloading https://github.com/AviaAvraham1/TempDatasets/raw/refs/heads/main/George_W_Bush2.zip...
Saved to /home/eran.b/.pytorch-datasets/George_W_Bush2.zip.
Extracting /home/eran.b/.pytorch-datasets/George_W_Bush2.zip...
Extracted 532 to /home/eran.b/.pytorch-datasets/George_W_Bush/George_W_Bush

Create a Dataset object that will load the extraced images:

In [4]:
import torchvision.transforms as T
from torchvision.datasets import ImageFolder

im_size = 64
tf = T.Compose([
    # Resize to constant spatial dimensions
    T.Resize((im_size, im_size)),
    # PIL.Image -> torch.Tensor
    T.ToTensor(),
    # Dynamic range [0,1] -> [-1, 1]
    T.Normalize(mean=(.5,.5,.5), std=(.5,.5,.5)),
])

ds_gwb = ImageFolder(os.path.dirname(dataset_dir), tf)

OK, let's see what we got. You can run the following block multiple times to display a random subset of images from the dataset.

In [5]:
_ = plot.dataset_first_n(ds_gwb, 50, figsize=(15,10), nrows=5)
print(f'Found {len(ds_gwb)} images in dataset folder.')
Found 530 images in dataset folder.
No description has been provided for this image
In [6]:
x0, y0 = ds_gwb[0]
x0 = x0.unsqueeze(0).to(device)
print(x0.shape)

test.assertSequenceEqual(x0.shape, (1, 3, im_size, im_size))
torch.Size([1, 3, 64, 64])

The Variational Autoencoder¶

An autoencoder is a model which learns a representation of data in an unsupervised fashion (i.e without any labels). Recall it's general form from the lecture:

No description has been provided for this image

An autoencoder maps an instance $\bb{x}$ to a latent-space representation $\bb{z}$. It has an encoder part, $\Phi_{\bb{\alpha}}(\bb{x})$ (a model with parameters $\bb{\alpha}$) and a decoder part, $\Psi_{\bb{\beta}}(\bb{z})$ (a model with parameters $\bb{\beta}$).

While autoencoders can learn useful representations, generally it's hard to use them as generative models because there's no distribution we can sample from in the latent space. In other words, we have no way to choose a point $\bb{z}$ in the latent space such that $\Psi(\bb{z})$ will end up on the data manifold in the instance space.

No description has been provided for this image

The variational autoencoder (VAE), first proposed by Kingma and Welling, addresses this issue by taking a probabilistic perspective. Briefly, a VAE model can be described as follows.

We define, in Baysean terminology,

  • The prior distribution $p(\bb{Z})$ on points in the latent space.
  • The posterior distribution of points in the latent spaces given a specific instance: $p(\bb{Z}|\bb{X})$.
  • The likelihood distribution of a sample $\bb{X}$ given a latent-space representation: $p(\bb{X}|\bb{Z})$.
  • The evidence distribution $p(\bb{X})$ which is the distribution of the instance space due to the generative process.

To create our variational decoder we'll further specify:

  • A parametric likelihood distribution, $p _{\bb{\beta}}(\bb{X} | \bb{Z}=\bb{z}) = \mathcal{N}( \Psi _{\bb{\beta}}(\bb{z}) , \sigma^2 \bb{I} )$. The interpretation is that given a latent $\bb{z}$, we map it to a point normally distributed around the point calculated by our decoder neural network. Note that here $\sigma^2$ is a hyperparameter while $\vec{\beta}$ represents the network parameters.
  • A fixed latent-space prior distribution of $p(\bb{Z}) = \mathcal{N}(\bb{0},\bb{I})$.

This setting allows us to generate a new instance $\bb{x}$ by sampling $\bb{z}$ from the multivariate normal distribution, obtaining the instance-space mean $\Psi _{\bb{\beta}}(\bb{z})$ using our decoder network, and then sampling $\bb{x}$ from $\mathcal{N}( \Psi _{\bb{\beta}}(\bb{z}) , \sigma^2 \bb{I} )$.

Our variational encoder will approximate the posterior with a parametric distribution $q _{\bb{\alpha}}(\bb{Z} | \bb{x}) = \mathcal{N}( \bb{\mu} _{\bb{\alpha}}(\bb{x}), \mathrm{diag}\{ \bb{\sigma}^2_{\bb{\alpha}}(\bb{x}) \} )$. The interpretation is that our encoder model, $\Phi_{\vec{\alpha}}(\bb{x})$, calculates the mean and variance of the posterior distribution, and samples $\bb{z}$ based on them. An important nuance here is that our network can't contain any stochastic elements that depend on the model parameters, otherwise we won't be able to back-propagate to those parameters. So sampling $\bb{z}$ from $\mathcal{N}( \bb{\mu} _{\bb{\alpha}}(\bb{x}), \mathrm{diag}\{ \bb{\sigma}^2_{\bb{\alpha}}(\bb{x}) \} )$ is not an option. The solution is to use what's known as the reparametrization trick: sample from an isotropic Gaussian, i.e. $\bb{u}\sim\mathcal{N}(\bb{0},\bb{I})$ (which doesn't depend on trainable parameters), and calculate the latent representation as $\bb{z} = \bb{\mu} _{\bb{\alpha}}(\bb{x}) + \bb{u}\odot\bb{\sigma}_{\bb{\alpha}}(\bb{x})$.

To train a VAE model, we maximize the evidence distribution, $p(\bb{X})$ (see question below). The VAE loss can therefore be stated as minimizing $\mathcal{L} = -\mathbb{E}_{\bb{x}} \log p(\bb{X})$. Although this expectation is intractable, we can obtain a lower-bound for $p(\bb{X})$ (the evidence lower bound, "ELBO", shown in the lecture):

$$ \log p(\bb{X}) \ge \mathbb{E} _{\bb{z} \sim q _{\bb{\alpha}} }\left[ \log p _{\bb{\beta}}(\bb{X} | \bb{z}) \right] - \mathcal{D} _{\mathrm{KL}}\left(q _{\bb{\alpha}}(\bb{Z} | \bb{X})\,\left\|\, p(\bb{Z} )\right.\right) $$

where $ \mathcal{D} _{\mathrm{KL}}(q\left\|\right.p) = \mathbb{E}_{\bb{z}\sim q}\left[ \log \frac{q(\bb{Z})}{p(\bb{Z})} \right] $ is the Kullback-Liebler divergence, which can be interpreted as the information gained by using the posterior $q(\bb{Z|X})$ instead of the prior distribution $p(\bb{Z})$.

Using the ELBO, the VAE loss becomes, $$ \mathcal{L}(\vec{\alpha},\vec{\beta}) = \mathbb{E} _{\bb{x}} \left[ \mathbb{E} _{\bb{z} \sim q _{\bb{\alpha}} }\left[ -\log p _{\bb{\beta}}(\bb{x} | \bb{z}) \right] + \mathcal{D} _{\mathrm{KL}}\left(q _{\bb{\alpha}}(\bb{Z} | \bb{x})\,\left\|\, p(\bb{Z} )\right.\right) \right]. $$

By remembering that the likelihood is a Gaussian distribution with a diagonal covariance and by applying the reparametrization trick, we can write the above as

$$ \mathcal{L}(\vec{\alpha},\vec{\beta}) = \mathbb{E} _{\bb{x}} \left[ \mathbb{E} _{\bb{z} \sim q _{\bb{\alpha}} } \left[ \frac{1}{2\sigma^2}\left\| \bb{x}- \Psi _{\bb{\beta}}\left( \bb{\mu} _{\bb{\alpha}}(\bb{x}) + \bb{\Sigma}^{\frac{1}{2}} _{\bb{\alpha}}(\bb{x}) \bb{u} \right) \right\| _2^2 \right] + \mathcal{D} _{\mathrm{KL}}\left(q _{\bb{\alpha}}(\bb{Z} | \bb{x})\,\left\|\, p(\bb{Z} )\right.\right) \right]. $$

Model Implementation¶

Obviously our model will have two parts, an encoder and a decoder. Since we're working with images, we'll implement both as deep convolutional networks, where the decoder is a "mirror image" of the encoder implemented with adjoint (AKA transposed) convolutions. Between the encoder CNN and the decoder CNN we'll implement the sampling from the parametric posterior approximator $q_{\bb{\alpha}}(\bb{Z}|\bb{x})$ to make it a VAE model and not just a regular autoencoder (of course, this is not yet enough to create a VAE, since we also need a special loss function which we'll get to later).

First let's implement just the CNN part of the Encoder network (this is not the full $\Phi_{\vec{\alpha}}(\bb{x})$ yet). As usual, it should take an input image and map to a activation volume of a specified depth. We'll consider this volume as the features we extract from the input image. Later we'll use these to create the latent space representation of the input.

TODO: Implement the EncoderCNN class in the hw3/autoencoder.py module. Implement any CNN architecture you like. If you need "architecture inspiration" you can see e.g. this or this paper.

In [7]:
import hw3.autoencoder as autoencoder

in_channels = 3
out_channels = 1024
encoder_cnn = autoencoder.EncoderCNN(in_channels, out_channels).to(device)
print(encoder_cnn)

h = encoder_cnn(x0)
print(h.shape)

test.assertEqual(h.dim(), 4)
test.assertSequenceEqual(h.shape[0:2], (1, out_channels))
EncoderCNN(
  (cnn): Sequential(
    (0): Conv2d(3, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
    (1): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (2): ReLU(inplace=True)
    (3): Conv2d(64, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
    (4): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (5): ReLU(inplace=True)
    (6): Conv2d(128, 1024, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
    (7): BatchNorm2d(1024, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (8): ReLU(inplace=True)
  )
)
torch.Size([1, 1024, 8, 8])

Now let's implement the CNN part of the Decoder. Again this is not yet the full $\Psi _{\bb{\beta}}(\bb{z})$. It should take an activation volume produced by your EncoderCNN and output an image of the same dimensions as the Encoder's input was. This can be a CNN which is like a "mirror image" of the the Encoder. For example, replace convolutions with transposed convolutions, downsampling with up-sampling etc. Consult the documentation of ConvTranspose2D to figure out how to reverse your convolutional layers in terms of input and output dimensions. Note that the decoder doesn't have to be exactly the opposite of the encoder and you can experiment with using a different architecture.

TODO: Implement the DecoderCNN class in the hw3/autoencoder.py module.

In [8]:
decoder_cnn = autoencoder.DecoderCNN(in_channels=out_channels, out_channels=in_channels).to(device)
print(decoder_cnn)
x0r = decoder_cnn(h)
print(x0r.shape)

test.assertEqual(x0.shape, x0r.shape)

# Should look like colored noise
T.functional.to_pil_image(x0r[0].cpu().detach())
DecoderCNN(
  (cnn): Sequential(
    (0): ConvTranspose2d(1024, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
    (1): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (2): ReLU(inplace=True)
    (3): ConvTranspose2d(128, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
    (4): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (5): ReLU(inplace=True)
    (6): ConvTranspose2d(64, 3, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1))
  )
)
torch.Size([1, 3, 64, 64])
Out[8]:
No description has been provided for this image

Let's now implement the full VAE Encoder, $\Phi_{\vec{\alpha}}(\vec{x})$. It will work as follows:

  1. Produce a feature vector $\vec{h}$ from the input image $\vec{x}$.
  2. Use two affine transforms to convert the features into the mean and log-variance of the posterior, i.e. $$ \begin{align} \bb{\mu} _{\bb{\alpha}}(\bb{x}) &= \vec{h}\mattr{W}_{\mathrm{h\mu}} + \vec{b}_{\mathrm{h\mu}} \\ \log\left(\bb{\sigma}^2_{\bb{\alpha}}(\bb{x})\right) &= \vec{h}\mattr{W}_{\mathrm{h\sigma^2}} + \vec{b}_{\mathrm{h\sigma^2}} \end{align} $$
  3. Use the reparametrization trick to create the latent representation $\vec{z}$.

Notice that we model the log of the variance, not the actual variance. The above formulation is proposed in appendix C of the VAE paper.

TODO: Implement the encode() method in the VAE class within the hw3/autoencoder.py module. You'll also need to define your parameters in __init__().

In [9]:
z_dim = 2
vae = autoencoder.VAE(encoder_cnn, decoder_cnn, x0[0].size(), z_dim).to(device)
print(vae)

z, mu, log_sigma2 = vae.encode(x0)

test.assertSequenceEqual(z.shape, (1, z_dim))
test.assertTrue(z.shape == mu.shape == log_sigma2.shape)

print(f'mu(x0)={list(*mu.detach().cpu().numpy())}, sigma2(x0)={list(*torch.exp(log_sigma2).detach().cpu().numpy())}')
VAE(
  (features_encoder): EncoderCNN(
    (cnn): Sequential(
      (0): Conv2d(3, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (1): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (2): ReLU(inplace=True)
      (3): Conv2d(64, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (4): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (5): ReLU(inplace=True)
      (6): Conv2d(128, 1024, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (7): BatchNorm2d(1024, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (8): ReLU(inplace=True)
    )
  )
  (features_decoder): DecoderCNN(
    (cnn): Sequential(
      (0): ConvTranspose2d(1024, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
      (1): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (2): ReLU(inplace=True)
      (3): ConvTranspose2d(128, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
      (4): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (5): ReLU(inplace=True)
      (6): ConvTranspose2d(64, 3, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1))
    )
  )
  (project_mu): Linear(in_features=65536, out_features=2, bias=True)
  (project_logvar): Linear(in_features=65536, out_features=2, bias=True)
  (project_z): Linear(in_features=2, out_features=65536, bias=True)
)
mu(x0)=[0.8224494, -0.51938593], sigma2(x0)=[0.86267585, 1.9702746]

Let's sample some 2d latent representations for an input image x0 and visualize them.

In [10]:
# Sample from q(Z|x)
N = 500
Z = torch.zeros(N, z_dim)
_, ax = plt.subplots()
with torch.no_grad():
    for i in range(N):
        Z[i], _, _ = vae.encode(x0)
        ax.scatter(*Z[i].cpu().numpy())

# Should be close to the mu/sigma in the previous block above
print('sampled mu', torch.mean(Z, dim=0))
print('sampled sigma2', torch.var(Z, dim=0))
sampled mu tensor([ 0.8101, -0.4607])
sampled sigma2 tensor([0.9138, 1.8869])
No description has been provided for this image

Let's now implement the full VAE Decoder, $\Psi _{\bb{\beta}}(\bb{z})$. It will work as follows:

  1. Produce a feature vector $\tilde{\vec{h}}$ from the latent vector $\vec{z}$ using an affine transform.
  2. Reconstruct an image $\tilde{\vec{x}}$ from $\tilde{\vec{h}}$ using the decoder CNN.

TODO: Implement the decode() method in the VAE class within the hw3/autoencoder.py module. You'll also need to define your parameters in __init__(). You may need to also re-run the block above after you implement this.

In [11]:
x0r = vae.decode(z)

test.assertSequenceEqual(x0r.shape, x0.shape)

Our model's forward() function will simply return decode(encode(x)) as well as the calculated mean and log-variance of the posterior.

In [12]:
x0r, mu, log_sigma2 = vae(x0)

test.assertSequenceEqual(x0r.shape, x0.shape)
test.assertSequenceEqual(mu.shape, (1, z_dim))
test.assertSequenceEqual(log_sigma2.shape, (1, z_dim))
T.functional.to_pil_image(x0r[0].detach().cpu())
Out[12]:
No description has been provided for this image

Loss Implementation¶

In practice, since we're using SGD, we'll drop the expectation over $\bb{X}$ and instead sample an instance from the training set and compute a point-wise loss. Similarly, we'll drop the expectation over $\bb{Z}$ by sampling from $q_{\vec{\alpha}}(\bb{Z}|\bb{x})$. Additionally, because the KL divergence is between two Gaussian distributions, there is a closed-form expression for it. These points bring us to the following point-wise loss:

$$ \ell(\vec{\alpha},\vec{\beta};\bb{x}) = \frac{1}{\sigma^2 d_x} \left\| \bb{x}- \Psi _{\bb{\beta}}\left( \bb{\mu} _{\bb{\alpha}}(\bb{x}) + \bb{\Sigma}^{\frac{1}{2}} _{\bb{\alpha}}(\bb{x}) \bb{u} \right) \right\| _2^2 + \mathrm{tr}\,\bb{\Sigma} _{\bb{\alpha}}(\bb{x}) + \|\bb{\mu} _{\bb{\alpha}}(\bb{x})\|^2 _2 - d_z - \log\det \bb{\Sigma} _{\bb{\alpha}}(\bb{x}), $$

where $d_z$ is the dimension of the latent space, $d_x$ is the dimension of the input and $\bb{u}\sim\mathcal{N}(\bb{0},\bb{I})$. This pointwise loss is the quantity that we'll compute and minimize with gradient descent. The first term corresponds to the data-reconstruction loss, while the second term corresponds to the KL-divergence loss. Note that the scaling by $d_x$ is not derived from the original loss formula and was added directly to the pointwise loss just to normalize the data term.

TODO: Implement the vae_loss() function in the hw3/autoencoder.py module.

In [13]:
from hw3.autoencoder import vae_loss
torch.manual_seed(42)

def test_vae_loss():
    # Test data
    N, C, H, W = 10, 3, 64, 64 
    z_dim = 32
    x  = torch.randn(N, C, H, W)*2 - 1
    xr = torch.randn(N, C, H, W)*2 - 1
    z_mu = torch.randn(N, z_dim)
    z_log_sigma2 = torch.randn(N, z_dim)
    x_sigma2 = 0.9
    
    loss, _, _ = vae_loss(x, xr, z_mu, z_log_sigma2, x_sigma2)
    
    test.assertAlmostEqual(loss.item(), 58.3234367, delta=1e-3)
    return loss

test_vae_loss()
Out[13]:
tensor(58.3234)

Sampling¶

The main advantage of a VAE is that it can by used as a generative model by sampling the latent space, since we optimize for a isotropic Gaussian prior $p(\bb{Z})$ in the loss function. Let's now implement this so that we can visualize how our model is doing when we train.

TODO: Implement the sample() method in the VAE class within the hw3/autoencoder.py module.

In [14]:
samples = vae.sample(5)
_ = plot.tensors_as_images(samples)
No description has been provided for this image

Training¶

Time to train!

TODO:

  1. Implement the VAETrainer class in the hw3/training.py module. Make sure to implement the checkpoints feature of the Trainer class if you haven't done so already in Part 1.
  2. Tweak the hyperparameters in the part2_vae_hyperparams() function within the hw3/answers.py module.
In [15]:
import torch.optim as optim
from torch.utils.data import random_split
from torch.utils.data import DataLoader
from torch.nn import DataParallel
from hw3.training import VAETrainer
from hw3.answers import part2_vae_hyperparams

torch.manual_seed(42)

# Hyperparams
hp = part2_vae_hyperparams()
batch_size = hp['batch_size']
h_dim = hp['h_dim']
z_dim = hp['z_dim']
x_sigma2 = hp['x_sigma2']
learn_rate = hp['learn_rate']
betas = hp['betas']

# Data
split_lengths = [int(len(ds_gwb)*0.9), int(len(ds_gwb)*0.1)]
ds_train, ds_test = random_split(ds_gwb, split_lengths)
dl_train = DataLoader(ds_train, batch_size, shuffle=True)
dl_test  = DataLoader(ds_test,  batch_size, shuffle=True)
im_size = ds_train[0][0].shape

# Model
encoder = autoencoder.EncoderCNN(in_channels=im_size[0], out_channels=h_dim)
decoder = autoencoder.DecoderCNN(in_channels=h_dim, out_channels=im_size[0])
vae = autoencoder.VAE(encoder, decoder, im_size, z_dim)
vae_dp = DataParallel(vae).to(device)

# Optimizer
optimizer = optim.Adam(vae.parameters(), lr=learn_rate, betas=betas)

# Loss
def loss_fn(x, xr, z_mu, z_log_sigma2):
    return autoencoder.vae_loss(x, xr, z_mu, z_log_sigma2, x_sigma2)

# Trainer
trainer = VAETrainer(vae_dp, loss_fn, optimizer, device)
checkpoint_file = 'checkpoints/vae'
checkpoint_file_final = f'{checkpoint_file}_final'
if os.path.isfile(f'{checkpoint_file}.pt'):
    os.remove(f'{checkpoint_file}.pt')

# Show model and hypers
print(vae)
print(hp)
VAE(
  (features_encoder): EncoderCNN(
    (cnn): Sequential(
      (0): Conv2d(3, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (1): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (2): ReLU(inplace=True)
      (3): Conv2d(64, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (4): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (5): ReLU(inplace=True)
      (6): Conv2d(128, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False)
      (7): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (8): ReLU(inplace=True)
    )
  )
  (features_decoder): DecoderCNN(
    (cnn): Sequential(
      (0): ConvTranspose2d(128, 128, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
      (1): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (2): ReLU(inplace=True)
      (3): ConvTranspose2d(128, 64, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1), bias=False)
      (4): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (5): ReLU(inplace=True)
      (6): ConvTranspose2d(64, 3, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), output_padding=(1, 1))
    )
  )
  (project_mu): Linear(in_features=8192, out_features=128, bias=True)
  (project_logvar): Linear(in_features=8192, out_features=128, bias=True)
  (project_z): Linear(in_features=128, out_features=8192, bias=True)
)
{'batch_size': 32, 'h_dim': 128, 'z_dim': 128, 'x_sigma2': 0.9, 'learn_rate': 0.0002, 'betas': (0.5, 0.999)}

TODO:

  1. Run the following block to train. It will sample some images from your model every few epochs so you can see the progress.
  2. When you're satisfied with your results, rename the checkpoints file by adding _final. When you run the main.py script to generate your submission, the final checkpoints file will be loaded instead of running training. Note that your final submission zip will not include the checkpoints/ folder. This is OK.

The images you get should be colorful, with different backgrounds and poses.

In [16]:
import IPython.display

def post_epoch_fn(epoch, train_result, test_result, verbose):
    # Plot some samples if this is a verbose epoch
    if verbose:
        samples = vae.sample(n=5)
        fig, _ = plot.tensors_as_images(samples, figsize=(6,2))
        IPython.display.display(fig)
        plt.close(fig)

if os.path.isfile(f'{checkpoint_file_final}.pt'):
    print(f'*** Loading final checkpoint file {checkpoint_file_final} instead of training')
    checkpoint_file = checkpoint_file_final
else:
    res = trainer.fit(dl_train, dl_test,
                      num_epochs=200, early_stopping=20, print_every=10,
                      checkpoints=checkpoint_file,
                      post_epoch_fn=post_epoch_fn)
    
# Plot images from best model
saved_state = torch.load(f'{checkpoint_file}.pt', map_location=device)
vae_dp.load_state_dict(saved_state['model_state'])
print('*** Images Generated from best model:')
fig, _ = plot.tensors_as_images(vae_dp.module.sample(n=15), nrows=3, figsize=(6,6))
--- EPOCH 1/200 ---
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*** Saved checkpoint checkpoints/vae.pt at epoch 1

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*** Saved checkpoint checkpoints/vae.pt at epoch 5
*** Saved checkpoint checkpoints/vae.pt at epoch 6
*** Saved checkpoint checkpoints/vae.pt at epoch 7
*** Saved checkpoint checkpoints/vae.pt at epoch 8
*** Saved checkpoint checkpoints/vae.pt at epoch 9
*** Saved checkpoint checkpoints/vae.pt at epoch 10
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*** Saved checkpoint checkpoints/vae.pt at epoch 11
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test_batch (Avg. Loss 1.495, Accuracy 13.4): 100%|██████████| 2/2 [00:00<00:00, 17.99it/s]
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*** Saved checkpoint checkpoints/vae.pt at epoch 21
No description has been provided for this image
--- EPOCH 31/200 ---
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No description has been provided for this image
*** Saved checkpoint checkpoints/vae.pt at epoch 33
*** Saved checkpoint checkpoints/vae.pt at epoch 34
--- EPOCH 41/200 ---
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train_batch (Avg. Loss 1.074, Accuracy 11.5): 100%|██████████| 15/15 [00:01<00:00, 14.03it/s]
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test_batch (Avg. Loss 1.953, Accuracy 13.3): 100%|██████████| 2/2 [00:00<00:00, 14.30it/s]
test_batch (Avg. Loss 1.953, Accuracy 13.3): 100%|██████████| 2/2 [00:00<00:00, 14.02it/s]

No description has been provided for this image
--- EPOCH 51/200 ---
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train_batch (Avg. Loss 0.637, Accuracy 11.5): 100%|██████████| 15/15 [00:01<00:00, 13.15it/s]
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test_batch (Avg. Loss 0.888, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.89it/s]
test_batch (Avg. Loss 0.888, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.59it/s]

No description has been provided for this image
*** Saved checkpoint checkpoints/vae.pt at epoch 58
--- EPOCH 61/200 ---
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test_batch (Avg. Loss 0.701, Accuracy 13.5): 100%|██████████| 2/2 [00:00<00:00, 17.85it/s]
test_batch (Avg. Loss 0.701, Accuracy 13.5): 100%|██████████| 2/2 [00:00<00:00, 17.56it/s]

No description has been provided for this image
*** Saved checkpoint checkpoints/vae.pt at epoch 68
--- EPOCH 71/200 ---
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train_batch (Avg. Loss 0.559, Accuracy 11.6): 100%|██████████| 15/15 [00:01<00:00, 13.83it/s]
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test_batch (Avg. Loss 0.956, Accuracy 13.7): 100%|██████████| 2/2 [00:00<00:00, 18.26it/s]
test_batch (Avg. Loss 0.956, Accuracy 13.7): 100%|██████████| 2/2 [00:00<00:00, 17.95it/s]

No description has been provided for this image
--- EPOCH 81/200 ---
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train_batch (Avg. Loss 0.481, Accuracy 11.6): 100%|██████████| 15/15 [00:01<00:00, 13.93it/s]
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test_batch (Avg. Loss 0.679, Accuracy 14.6): 100%|██████████| 2/2 [00:00<00:00, 18.08it/s]
test_batch (Avg. Loss 0.679, Accuracy 14.6): 100%|██████████| 2/2 [00:00<00:00, 17.77it/s]

*** Saved checkpoint checkpoints/vae.pt at epoch 81
No description has been provided for this image
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train_batch (0.653):  47%|████▋     | 7/15 [00:00<00:00, 14.00it/s]
train_batch (0.653):  53%|█████▎    | 8/15 [00:00<00:00, 13.96it/s]
train_batch (0.665):  53%|█████▎    | 8/15 [00:00<00:00, 13.96it/s]
train_batch (0.582):  60%|██████    | 9/15 [00:00<00:00, 13.96it/s]
train_batch (0.582):  67%|██████▋   | 10/15 [00:00<00:00, 14.05it/s]
train_batch (0.468):  67%|██████▋   | 10/15 [00:00<00:00, 14.05it/s]
train_batch (0.484):  73%|███████▎  | 11/15 [00:00<00:00, 14.05it/s]
train_batch (0.484):  80%|████████  | 12/15 [00:00<00:00, 14.04it/s]
train_batch (0.493):  80%|████████  | 12/15 [00:00<00:00, 14.04it/s]
train_batch (0.560):  87%|████████▋ | 13/15 [00:01<00:00, 14.04it/s]
train_batch (0.560):  93%|█████████▎| 14/15 [00:01<00:00, 13.64it/s]
train_batch (0.560):  93%|█████████▎| 14/15 [00:01<00:00, 13.64it/s]
train_batch (Avg. Loss 0.579, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 13.64it/s]
train_batch (Avg. Loss 0.579, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 13.82it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.797):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.841):  50%|█████     | 1/2 [00:00<00:00,  9.00it/s]
test_batch (0.841): 100%|██████████| 2/2 [00:00<00:00, 17.91it/s]
test_batch (Avg. Loss 0.819, Accuracy 13.8): 100%|██████████| 2/2 [00:00<00:00, 17.91it/s]
test_batch (Avg. Loss 0.819, Accuracy 13.8): 100%|██████████| 2/2 [00:00<00:00, 17.61it/s]

No description has been provided for this image
--- EPOCH 101/200 ---
train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.461):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.374):   7%|▋         | 1/15 [00:00<00:01,  7.03it/s]
train_batch (0.374):  13%|█▎        | 2/15 [00:00<00:00, 14.00it/s]
train_batch (0.396):  13%|█▎        | 2/15 [00:00<00:00, 14.00it/s]
train_batch (0.415):  20%|██        | 3/15 [00:00<00:00, 14.00it/s]
train_batch (0.415):  27%|██▋       | 4/15 [00:00<00:00, 13.95it/s]
train_batch (0.469):  27%|██▋       | 4/15 [00:00<00:00, 13.95it/s]
train_batch (0.601):  33%|███▎      | 5/15 [00:00<00:00, 13.95it/s]
train_batch (0.601):  40%|████      | 6/15 [00:00<00:00, 13.98it/s]
train_batch (0.644):  40%|████      | 6/15 [00:00<00:00, 13.98it/s]
train_batch (0.703):  47%|████▋     | 7/15 [00:00<00:00, 13.98it/s]
train_batch (0.703):  53%|█████▎    | 8/15 [00:00<00:00, 13.99it/s]
train_batch (0.632):  53%|█████▎    | 8/15 [00:00<00:00, 13.99it/s]
train_batch (0.464):  60%|██████    | 9/15 [00:00<00:00, 13.99it/s]
train_batch (0.464):  67%|██████▋   | 10/15 [00:00<00:00, 13.63it/s]
train_batch (0.422):  67%|██████▋   | 10/15 [00:00<00:00, 13.63it/s]
train_batch (0.427):  73%|███████▎  | 11/15 [00:00<00:00, 13.63it/s]
train_batch (0.427):  80%|████████  | 12/15 [00:00<00:00, 13.74it/s]
train_batch (0.437):  80%|████████  | 12/15 [00:00<00:00, 13.74it/s]
train_batch (0.444):  87%|████████▋ | 13/15 [00:01<00:00, 13.74it/s]
train_batch (0.444):  93%|█████████▎| 14/15 [00:01<00:00, 13.81it/s]
train_batch (0.391):  93%|█████████▎| 14/15 [00:01<00:00, 13.81it/s]
train_batch (Avg. Loss 0.485, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 13.81it/s]
train_batch (Avg. Loss 0.485, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 13.89it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.545):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.542):  50%|█████     | 1/2 [00:00<00:00,  8.91it/s]
test_batch (0.542): 100%|██████████| 2/2 [00:00<00:00, 17.73it/s]
test_batch (Avg. Loss 0.544, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.73it/s]
test_batch (Avg. Loss 0.544, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.43it/s]

No description has been provided for this image
--- EPOCH 111/200 ---
train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.396):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.376):   7%|▋         | 1/15 [00:00<00:02,  6.99it/s]
train_batch (0.376):  13%|█▎        | 2/15 [00:00<00:00, 13.93it/s]
train_batch (0.474):  13%|█▎        | 2/15 [00:00<00:00, 13.93it/s]
train_batch (0.475):  20%|██        | 3/15 [00:00<00:00, 13.93it/s]
train_batch (0.475):  27%|██▋       | 4/15 [00:00<00:00, 14.00it/s]
train_batch (0.570):  27%|██▋       | 4/15 [00:00<00:00, 14.00it/s]
train_batch (0.659):  33%|███▎      | 5/15 [00:00<00:00, 14.00it/s]
train_batch (0.659):  40%|████      | 6/15 [00:00<00:00, 13.88it/s]
train_batch (0.797):  40%|████      | 6/15 [00:00<00:00, 13.88it/s]
train_batch (0.590):  47%|████▋     | 7/15 [00:00<00:00, 13.88it/s]
train_batch (0.590):  53%|█████▎    | 8/15 [00:00<00:00, 13.96it/s]
train_batch (0.494):  53%|█████▎    | 8/15 [00:00<00:00, 13.96it/s]
train_batch (0.463):  60%|██████    | 9/15 [00:00<00:00, 13.96it/s]
train_batch (0.463):  67%|██████▋   | 10/15 [00:00<00:00, 13.94it/s]
train_batch (0.417):  67%|██████▋   | 10/15 [00:00<00:00, 13.94it/s]
train_batch (0.409):  73%|███████▎  | 11/15 [00:00<00:00, 13.94it/s]
train_batch (0.409):  80%|████████  | 12/15 [00:00<00:00, 13.89it/s]
train_batch (0.389):  80%|████████  | 12/15 [00:00<00:00, 13.89it/s]
train_batch (0.395):  87%|████████▋ | 13/15 [00:01<00:00, 13.89it/s]
train_batch (0.395):  93%|█████████▎| 14/15 [00:01<00:00, 13.93it/s]
train_batch (0.449):  93%|█████████▎| 14/15 [00:01<00:00, 13.93it/s]
train_batch (Avg. Loss 0.490, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 13.93it/s]
train_batch (Avg. Loss 0.490, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 14.00it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.635):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.629):  50%|█████     | 1/2 [00:00<00:00,  9.05it/s]
test_batch (0.629): 100%|██████████| 2/2 [00:00<00:00, 18.01it/s]
test_batch (Avg. Loss 0.632, Accuracy 13.8): 100%|██████████| 2/2 [00:00<00:00, 18.01it/s]
test_batch (Avg. Loss 0.632, Accuracy 13.8): 100%|██████████| 2/2 [00:00<00:00, 17.71it/s]

No description has been provided for this image
--- EPOCH 121/200 ---
train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.481):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.429):   7%|▋         | 1/15 [00:00<00:01,  7.02it/s]
train_batch (0.429):  13%|█▎        | 2/15 [00:00<00:00, 13.99it/s]
train_batch (0.351):  13%|█▎        | 2/15 [00:00<00:00, 13.99it/s]
train_batch (0.357):  20%|██        | 3/15 [00:00<00:00, 13.99it/s]
train_batch (0.357):  27%|██▋       | 4/15 [00:00<00:00, 13.12it/s]
train_batch (0.359):  27%|██▋       | 4/15 [00:00<00:00, 13.12it/s]
train_batch (0.377):  33%|███▎      | 5/15 [00:00<00:00, 13.12it/s]
train_batch (0.377):  40%|████      | 6/15 [00:00<00:00, 12.44it/s]
train_batch (0.349):  40%|████      | 6/15 [00:00<00:00, 12.44it/s]
train_batch (0.356):  47%|████▋     | 7/15 [00:00<00:00, 12.44it/s]
train_batch (0.356):  53%|█████▎    | 8/15 [00:00<00:00, 12.79it/s]
train_batch (0.354):  53%|█████▎    | 8/15 [00:00<00:00, 12.79it/s]
train_batch (0.360):  60%|██████    | 9/15 [00:00<00:00, 12.79it/s]
train_batch (0.360):  67%|██████▋   | 10/15 [00:00<00:00, 13.19it/s]
train_batch (0.345):  67%|██████▋   | 10/15 [00:00<00:00, 13.19it/s]
train_batch (0.355):  73%|███████▎  | 11/15 [00:00<00:00, 13.19it/s]
train_batch (0.355):  80%|████████  | 12/15 [00:00<00:00, 12.58it/s]
train_batch (0.387):  80%|████████  | 12/15 [00:01<00:00, 12.58it/s]
train_batch (0.433):  87%|████████▋ | 13/15 [00:01<00:00, 12.58it/s]
train_batch (0.433):  93%|█████████▎| 14/15 [00:01<00:00, 12.43it/s]
train_batch (0.427):  93%|█████████▎| 14/15 [00:01<00:00, 12.43it/s]
train_batch (Avg. Loss 0.381, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 12.43it/s]
train_batch (Avg. Loss 0.381, Accuracy 11.7): 100%|██████████| 15/15 [00:01<00:00, 12.82it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.558):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.598):  50%|█████     | 1/2 [00:00<00:00,  8.91it/s]
test_batch (0.598): 100%|██████████| 2/2 [00:00<00:00, 17.72it/s]
test_batch (Avg. Loss 0.578, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.72it/s]
test_batch (Avg. Loss 0.578, Accuracy 13.6): 100%|██████████| 2/2 [00:00<00:00, 17.42it/s]

No description has been provided for this image
--- EPOCH 131/200 ---
train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.428):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.445):   7%|▋         | 1/15 [00:00<00:02,  6.97it/s]
train_batch (0.445):  13%|█▎        | 2/15 [00:00<00:00, 13.88it/s]
train_batch (0.400):  13%|█▎        | 2/15 [00:00<00:00, 13.88it/s]
train_batch (0.360):  20%|██        | 3/15 [00:00<00:00, 13.88it/s]
train_batch (0.360):  27%|██▋       | 4/15 [00:00<00:00, 13.94it/s]
train_batch (0.365):  27%|██▋       | 4/15 [00:00<00:00, 13.94it/s]
train_batch (0.372):  33%|███▎      | 5/15 [00:00<00:00, 13.94it/s]
train_batch (0.372):  40%|████      | 6/15 [00:00<00:00, 13.97it/s]
train_batch (0.379):  40%|████      | 6/15 [00:00<00:00, 13.97it/s]
train_batch (0.410):  47%|████▋     | 7/15 [00:00<00:00, 13.97it/s]
train_batch (0.410):  53%|█████▎    | 8/15 [00:00<00:00, 14.01it/s]
train_batch (0.621):  53%|█████▎    | 8/15 [00:00<00:00, 14.01it/s]
train_batch (0.669):  60%|██████    | 9/15 [00:00<00:00, 14.01it/s]
train_batch (0.669):  67%|██████▋   | 10/15 [00:00<00:00, 14.01it/s]
train_batch (0.543):  67%|██████▋   | 10/15 [00:00<00:00, 14.01it/s]
train_batch (0.593):  73%|███████▎  | 11/15 [00:00<00:00, 14.01it/s]
train_batch (0.593):  80%|████████  | 12/15 [00:00<00:00, 13.96it/s]
train_batch (0.609):  80%|████████  | 12/15 [00:00<00:00, 13.96it/s]
train_batch (0.497):  87%|████████▋ | 13/15 [00:01<00:00, 13.96it/s]
train_batch (0.497):  93%|█████████▎| 14/15 [00:01<00:00, 13.94it/s]
train_batch (0.355):  93%|█████████▎| 14/15 [00:01<00:00, 13.94it/s]
train_batch (Avg. Loss 0.470, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 13.94it/s]
train_batch (Avg. Loss 0.470, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 14.03it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.491):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.425):  50%|█████     | 1/2 [00:00<00:00,  8.77it/s]
test_batch (0.425): 100%|██████████| 2/2 [00:00<00:00, 17.47it/s]
test_batch (Avg. Loss 0.458, Accuracy 14.0): 100%|██████████| 2/2 [00:00<00:00, 17.47it/s]
test_batch (Avg. Loss 0.458, Accuracy 14.0): 100%|██████████| 2/2 [00:00<00:00, 17.18it/s]

No description has been provided for this image
--- EPOCH 141/200 ---
train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.414):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.459):   7%|▋         | 1/15 [00:00<00:01,  7.08it/s]
train_batch (0.459):  13%|█▎        | 2/15 [00:00<00:00, 14.10it/s]
train_batch (0.572):  13%|█▎        | 2/15 [00:00<00:00, 14.10it/s]
train_batch (0.602):  20%|██        | 3/15 [00:00<00:00, 14.10it/s]
train_batch (0.602):  27%|██▋       | 4/15 [00:00<00:00, 13.26it/s]
train_batch (0.550):  27%|██▋       | 4/15 [00:00<00:00, 13.26it/s]
train_batch (0.377):  33%|███▎      | 5/15 [00:00<00:00, 13.26it/s]
train_batch (0.377):  40%|████      | 6/15 [00:00<00:00, 13.38it/s]
train_batch (0.347):  40%|████      | 6/15 [00:00<00:00, 13.38it/s]
train_batch (0.349):  47%|████▋     | 7/15 [00:00<00:00, 13.38it/s]
train_batch (0.349):  53%|█████▎    | 8/15 [00:00<00:00, 13.61it/s]
train_batch (0.385):  53%|█████▎    | 8/15 [00:00<00:00, 13.61it/s]
train_batch (0.417):  60%|██████    | 9/15 [00:00<00:00, 13.61it/s]
train_batch (0.417):  67%|██████▋   | 10/15 [00:00<00:00, 13.74it/s]
train_batch (0.467):  67%|██████▋   | 10/15 [00:00<00:00, 13.74it/s]
train_batch (0.550):  73%|███████▎  | 11/15 [00:00<00:00, 13.74it/s]
train_batch (0.550):  80%|████████  | 12/15 [00:00<00:00, 13.86it/s]
train_batch (0.465):  80%|████████  | 12/15 [00:00<00:00, 13.86it/s]
train_batch (0.413):  87%|████████▋ | 13/15 [00:01<00:00, 13.86it/s]
train_batch (0.413):  93%|█████████▎| 14/15 [00:01<00:00, 13.70it/s]
train_batch (0.406):  93%|█████████▎| 14/15 [00:01<00:00, 13.70it/s]
train_batch (Avg. Loss 0.452, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 13.70it/s]
train_batch (Avg. Loss 0.452, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 13.75it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.532):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.572):  50%|█████     | 1/2 [00:00<00:00,  9.09it/s]
test_batch (0.572): 100%|██████████| 2/2 [00:00<00:00, 18.09it/s]
test_batch (Avg. Loss 0.552, Accuracy 13.7): 100%|██████████| 2/2 [00:00<00:00, 18.09it/s]
test_batch (Avg. Loss 0.552, Accuracy 13.7): 100%|██████████| 2/2 [00:00<00:00, 17.79it/s]

No description has been provided for this image
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train_batch:   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.334):   0%|          | 0/15 [00:00<?, ?it/s]
train_batch (0.373):   7%|▋         | 1/15 [00:00<00:02,  7.00it/s]
train_batch (0.373):  13%|█▎        | 2/15 [00:00<00:00, 13.94it/s]
train_batch (0.354):  13%|█▎        | 2/15 [00:00<00:00, 13.94it/s]
train_batch (0.342):  20%|██        | 3/15 [00:00<00:00, 13.94it/s]
train_batch (0.342):  27%|██▋       | 4/15 [00:00<00:00, 13.94it/s]
train_batch (0.334):  27%|██▋       | 4/15 [00:00<00:00, 13.94it/s]
train_batch (0.406):  33%|███▎      | 5/15 [00:00<00:00, 13.94it/s]
train_batch (0.406):  40%|████      | 6/15 [00:00<00:00, 14.03it/s]
train_batch (0.421):  40%|████      | 6/15 [00:00<00:00, 14.03it/s]
train_batch (0.423):  47%|████▋     | 7/15 [00:00<00:00, 14.03it/s]
train_batch (0.423):  53%|█████▎    | 8/15 [00:00<00:00, 13.99it/s]
train_batch (0.378):  53%|█████▎    | 8/15 [00:00<00:00, 13.99it/s]
train_batch (0.308):  60%|██████    | 9/15 [00:00<00:00, 13.99it/s]
train_batch (0.308):  67%|██████▋   | 10/15 [00:00<00:00, 13.45it/s]
train_batch (0.271):  67%|██████▋   | 10/15 [00:00<00:00, 13.45it/s]
train_batch (0.338):  73%|███████▎  | 11/15 [00:00<00:00, 13.45it/s]
train_batch (0.338):  80%|████████  | 12/15 [00:00<00:00, 13.57it/s]
train_batch (0.449):  80%|████████  | 12/15 [00:00<00:00, 13.57it/s]
train_batch (0.605):  87%|████████▋ | 13/15 [00:01<00:00, 13.57it/s]
train_batch (0.605):  93%|█████████▎| 14/15 [00:01<00:00, 13.66it/s]
train_batch (0.640):  93%|█████████▎| 14/15 [00:01<00:00, 13.66it/s]
train_batch (Avg. Loss 0.398, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 13.66it/s]
train_batch (Avg. Loss 0.398, Accuracy 11.8): 100%|██████████| 15/15 [00:01<00:00, 13.65it/s]

test_batch:   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.766):   0%|          | 0/2 [00:00<?, ?it/s]
test_batch (0.716):  50%|█████     | 1/2 [00:00<00:00,  8.79it/s]
test_batch (0.716): 100%|██████████| 2/2 [00:00<00:00, 17.49it/s]
test_batch (Avg. Loss 0.741, Accuracy 13.9): 100%|██████████| 2/2 [00:00<00:00, 17.49it/s]
test_batch (Avg. Loss 0.741, Accuracy 13.9): 100%|██████████| 2/2 [00:00<00:00, 17.20it/s]

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/tmp/ipykernel_1886479/3902647951.py:21: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  saved_state = torch.load(f'{checkpoint_file}.pt', map_location=device)
*** Images Generated from best model:
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Questions¶

TODO Answer the following questions. Write your answers in the appropriate variables in the module hw3/answers.py.

In [17]:
from cs236781.answers import display_answer
import hw3.answers

Question 1¶

What does the $\sigma^2$ hyperparameter (x_sigma2 in the code) do? Explain the effect of low and high values.

In [18]:
display_answer(hw3.answers.part2_q1)

Your answer:

The hyperparameter $\sigma^2$ represents the assumed variance of the data likelihood $p(\mathbf{x}|\mathbf{z}) \sim \mathcal{N}(\Psi(\mathbf{z}), \sigma^2 \mathbf{I})$. In the loss function, it acts as a weighting coefficient that controls the trade-off between the reconstruction loss and the KL-divergence regularization.

  1. Low $\sigma^2$: Effect: The reconstruction error term is scaled up (large weight). The model prioritizes minimizing pixel-wise differences between the input and output. Result: The model produces sharp, high-quality reconstructions. However, it may ignore the KL-divergence term, leading to a latent space that is not smooth or normally distributed (overfitting). This results in poor random sampling (generation) quality.

  2. High $\sigma^2$: Effect: The reconstruction error term is scaled down (small weight). The KL-divergence term becomes relatively more important. Result: The model prioritizes fitting the latent distribution to the prior $\mathcal{N}(0, I)$. The latent space becomes very regularized and smooth. However, the model may fail to encode enough information about the input, leading to blurry reconstructions and generic features (a phenomenon known as "posterior collapse").

Question 2¶

  1. Explain the purpose of both parts of the VAE loss term - reconstruction loss and KL divergence loss.
  2. How is the latent-space distribution affected by the KL loss term?
  3. What's the benefit of this effect?
In [19]:
display_answer(hw3.answers.part2_q2)

Your answer:

  1. Purpose of the Loss Terms: Reconstruction Loss: This term measures how well the decoded image matches the original input. Its purpose is to force the latent representation ($z$) to capture the meaningful "content" and information required to reproduce the data. Without this, the model would produce random noise. KL Divergence Loss: This term measures the difference (divergence) between the predicted latent distribution $q(\mathbf{z}|\mathbf{x})$ and a fixed standard normal prior $p(\mathbf{z}) = \mathcal{N}(0, I)$. Its purpose is to regularize the latent space structure.

  2. Effect on Latent-Space Distribution: The KL loss forces the encoder to map inputs to a compact, continuous, and overlapping region centered around the origin. It prevents the encoder from memorizing data points as isolated, far-apart "dots" (delta functions) or cheating by setting the variance to zero. Instead, it forces every input to be mapped to a probability cloud that resembles a standard Gaussian.

  3. Benefit of this Effect: This regularization is crucial for the VAE's generative capability: Sampling: Because we forced the training distribution to look like a standard normal distribution, we know exactly how to generate new data: simply sample $z \sim \mathcal{N}(0, I)$ and decode it. Smoothness (Interpolation): The compact space ensures that there are no "gaps" or "holes" in the latent space. Walking from one point to another in the latent space results in a smooth semantic transition in the image space, rather than sudden jumps or garbage outputs.

Question 3¶

In the formulation of the VAE loss, why do we start by maximizing the evidence distribution, $p(X)$?

In [20]:
display_answer(hw3.answers.part2_q3)

Your answer:

We start by maximizing the evidence distribution $p(\mathbf{X})$ because Maximum Likelihood Estimation (MLE) is the fundamental objective of generative modeling.

  1. The Goal: Our goal is to train a model that learns the true underlying probability distribution of the data, $p_{data}(\mathbf{x})$. If our model assigns a high probability $p_\theta(\mathbf{x})$ to the real samples we observed, it means the model has successfully learned to recognize and generate data that looks like the training set.

  2. The Problem: Direct maximization of $p(\mathbf{x})$ is intractable. In a latent variable model, calculating the likelihood of a single image requires marginalizing over all possible latent variables $z$: $$p(\mathbf{x}) = \int p(\mathbf{x}|\mathbf{z})p(\mathbf{z}) d\mathbf{z}$$ This integral is impossible to compute for complex neural networks.

  3. The Solution (ELBO): Since we cannot maximize $\log p(\mathbf{x})$ directly, we derive the Evidence Lower Bound (ELBO). By maximizing the ELBO, we implicitly maximize the log-likelihood of the data (or at least push its lower bound up), effectively training the model to satisfy the MLE objective.

Question 4¶

In the VAE encoder, why do we model the log of the latent-space variance corresponding to an input, $\sigma^2_{\alpha}$, instead of directly modelling this variance?

In [21]:
display_answer(hw3.answers.part2_q4)

Your answer:

We model the log-variance ($\log \sigma^2$) instead of the variance directly for two main reasons: numerical stability and mathematical constraints.

  1. Range Constraint (Positivity): Variance ($\sigma^2$) is mathematically required to be a non-negative number ($[0, \infty)$). Standard neural network layers (like Linear layers) produce outputs in the range $(-\infty, \infty)$. If we predicted $\sigma^2$ directly, we would need to enforce positivity using an activation function like ReLU or Softplus. ReLU could lead to "dead neurons" (variance = 0), causing infinite densities and numerical crashes. By predicting $x = \log \sigma^2$, we can allow the network to output any real number. We then compute $\sigma^2 = e^x$, which is guaranteed to be strictly positive.

  2. Numerical Stability & Sensitivity: It effectively allows the network to learn the scale of the variance. Small changes in the log-space correspond to multiplicative changes in the variance space. This makes it easier for the optimizer to fine-tune very small variances (which map to negative numbers like -5, -10) without dealing with tiny floating-point numbers directly during backpropagation.

$$ \newcommand{\mat}[1]{\boldsymbol {#1}} \newcommand{\mattr}[1]{\boldsymbol {#1}^\top} \newcommand{\matinv}[1]{\boldsymbol {#1}^{-1}} \newcommand{\vec}[1]{\boldsymbol {#1}} \newcommand{\vectr}[1]{\boldsymbol {#1}^\top} \newcommand{\rvar}[1]{\mathrm {#1}} \newcommand{\rvec}[1]{\boldsymbol{\mathrm{#1}}} \newcommand{\diag}{\mathop{\mathrm {diag}}} \newcommand{\set}[1]{\mathbb {#1}} \newcommand{\norm}[1]{\left\lVert#1\right\rVert} \newcommand{\pderiv}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\bb}[1]{\boldsymbol{#1}} $$

Part 3: Transformer¶

In this part we will implement a variation of the attention mechanism named the 'sliding window attention'. Next, we will create a transformer encoder with the sliding-window attention implementation, and we will train the encoder for sentiment analysis.

In [1]:
%load_ext autoreload
%autoreload 2
import unittest
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
import copy
import torch.optim as optim
from tqdm import tqdm
import os
import numpy as np
In [2]:
test = unittest.TestCase()
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

print('Using device:', device)
Using device: cuda

Reminder: scaled dot product attention¶

In class, you saw that the scaled dot product attention is defined as: $$ \newcommand{\mat}[1]{\mathbf{#1}} $$ $$ \begin{align} \mat{B} &= \frac{1}{\sqrt{d}} \mat{Q} \mat{K}^T \ \in\set{R}^{m\times n} \\ \mat{A} &= softmax({\mat{B}},{\mathrm{dim}=1}), \in\set{R}^{m\times n} \\ \mat{Y} &= \mat{A}\mat{V} \ \in\set{R}^{m\times d_v}. \end{align} $$

where K,Q and V for the self attention came as projections of the same input sequnce

$$ \begin{align*} \vec{q}_{i} &= \mat{W}_{xq}\vec{x}_{i} & \vec{k}_{i} &= \mat{W}_{xk}\vec{x}_{i} & \vec{v}_{i} &= \mat{W}_{xv}\vec{x}_{i} \end{align*} $$

If you feel the attention mechanism doesn't quite sit right, we recommend you go over lecture and tutorial notes before proceeding.

We are now going to introduce a slight variation of the scaled dot product attention.

Sliding window attention¶

The scaled dot product attention computes the dot product between every pair of key and query vectors. Therefore, the computation complexity is $O(n^2)$ where $n$ is the sequence length.

In order to obtain a computational complexity that grows linearly with the sequnce length, the authors of 'Longformer: The Long-Document Transformer https://arxiv.org/pdf/2004.05150.pdf' proposed the 'sliding window attention' which is a variation of the scaled dot product attention.

In this variation, instead of computing the dot product for every pair of key and query vectors, the dot product is only computed for keys that are in a certain 'window' around the query vector.

For example, if the keys and queries are embeddings of words in the sentence "CS is more prestigious than EE", and the window size is 2, then for the query corresponding to the word 'is' we will only compute a dot product with the keys that are at most ${window\_size}\over{2}$$ = $${2}\over{2}$$=1$ to the left and to the right. Meaning the keys that correspond to the workds 'CS', 'is' and 'more'. Formally, the intermediate calculation of the normalized dot product can be written as: $$ \mathrm{b}(q, k, w)¶

\begin{cases} q⋅k^T\over{\sqrt{d_k}} & \mathrm{if} \;d(q,k) ≤ {{w}\over{2}} \\ -\infty & \mathrm{otherwise} \end{cases}. $$

Where $b(\cdot,\cdot,\cdot)$ is the intermediate result function (used to construct a matrix $\mat{B}$ on which we perform the softmax), $q$ is the query vector, $k$ is the key vector, $w$ is the sliding window size, and $d(\cdot,\cdot)$ is the distance function between the positions of the tokens corresponding to the key and query vectors.

Note: The distance function $d(\cdot,\cdot)$ is Not cyclical. Meaning that that in the example above when searching for the words at distance 1 from the word 'CS', we don't return cyclically from the right and count the word EE.

The result of this operation can be visualized like this: (green corresponds to computing the scaled dot product, and white to a no-op or $-∞$).

No description has been provided for this image

TODO: Implement the sliding_window_attention function in hw3/transformer.py

In [3]:
from hw3.transformer import sliding_window_attention


## test sliding-window attention
num_heads = 3
batch_size = 2
seq_len = 5
embed_dim = 3
window_size = 2

## test without extra dimension for heads
x = torch.arange(seq_len*embed_dim).reshape(seq_len,embed_dim).repeat(batch_size,1).reshape(batch_size, seq_len, -1).float()

values, attention = sliding_window_attention(x, x, x,window_size)

gt_values = torch.load(os.path.join('test_tensors','values_tensor_0_heads.pt'))


test.assertTrue(torch.all(values == gt_values), f'the tensors differ in dims [B,row,col]:{torch.stack(torch.where(values != gt_values),dim=0)}')

gt_attention = torch.load(os.path.join('test_tensors','attention_tensor_0_heads.pt'))
test.assertTrue(torch.all(attention == gt_attention), f'the tensors differ in dims [B,row,col]:{torch.stack(torch.where(attention != gt_attention),dim=0)}')


## test with extra dimension for heads
x = torch.arange(seq_len*embed_dim).reshape(seq_len,embed_dim).repeat(batch_size, num_heads, 1).reshape(batch_size, num_heads, seq_len, -1).float()

values, attention = sliding_window_attention(x, x, x,window_size)

gt_values = torch.load(os.path.join('test_tensors','values_tensor_3_heads.pt'))
test.assertTrue(torch.all(values == gt_values), f'the tensors differ in dims [B,num_heads,row,col]:{torch.stack(torch.where(values != gt_values),dim=0)}')


gt_attention = torch.load(os.path.join('test_tensors','attention_tensor_3_heads.pt'))
test.assertTrue(torch.all(attention == gt_attention), f'the tensors differ in dims [B,num_heads,row,col]:{torch.stack(torch.where(attention != gt_attention),dim=0)}')
/tmp/ipykernel_1886718/1539104548.py:16: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  gt_values = torch.load(os.path.join('test_tensors','values_tensor_0_heads.pt'))
/tmp/ipykernel_1886718/1539104548.py:21: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  gt_attention = torch.load(os.path.join('test_tensors','attention_tensor_0_heads.pt'))
/tmp/ipykernel_1886718/1539104548.py:30: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  gt_values = torch.load(os.path.join('test_tensors','values_tensor_3_heads.pt'))
/tmp/ipykernel_1886718/1539104548.py:34: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  gt_attention = torch.load(os.path.join('test_tensors','attention_tensor_3_heads.pt'))

Multihead Sliding window attention¶

As you've seen in class, the transformer model uses a Multi-head attention module. We will use the same implementation you've seen in the tutorial, aside from the attention mechanism itslef, which will be swapped with the sliding-window attention you implemented.

TODO: Insert the call to the sliding-window attention mechanism in the forward of MultiHeadAttention in hw3/transformer.py

Sentiment analysis¶

We will now go on to tackling the task of sentiment analysis which is the process of analyzing text to determine if the emotional tone of the message is positive or negative (many times a neutral class is also used, but this won't be the case in the data we will be working with).

IMBD hugging face dataset¶

Hugging Face is a popular open-source library and platform that provides state-of-the-art tools and resources for natural language processing (NLP) tasks. It has gained immense popularity within the NLP community due to its user-friendly interfaces, powerful pre-trained models, and a vibrant community that actively contributes to its development.

Hugging Face provides a wide array of tools and utilities, which we will leverage as well. The Hugging Face Transformers library, built on top of PyTorch and TensorFlow, offers a simple yet powerful API for working with Transformer-based models (such as Distil-BERT). It enables users to easily load, fine-tune, and evaluate models, as well as generate text using these models.

Furthermore, Hugging Face offers the Hugging Face Datasets library, which provides access to a vast collection of publicly available datasets for NLP. These datasets can be conveniently downloaded and used for training and evaluation purposes.

You are encouraged to visit their site and see other uses: https://huggingface.co/

In [4]:
import numpy as np
import pandas as pd
import sys
import pathlib
import urllib
import shutil
import re

import matplotlib.pyplot as plt

%load_ext autoreload
%autoreload 2
The autoreload extension is already loaded. To reload it, use:
  %reload_ext autoreload
In [5]:
from datasets import DatasetDict
from datasets import load_dataset
/home/eran.b/miniconda3/envs/cs236781-hw/lib/python3.8/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html
  from .autonotebook import tqdm as notebook_tqdm

First, we load the dataset using Hugging Face's datasets library.

Feel free to look around at the full array of datasets that they offer.

https://huggingface.co/docs/datasets/index

We will load the full training and test sets in addition to a small toy subset of the training set.

In [6]:
dataset = load_dataset('imdb', split=['train', 'test', 'train[12480:12520]'])
In [7]:
print(dataset)
[Dataset({
    features: ['text', 'label'],
    num_rows: 25000
}), Dataset({
    features: ['text', 'label'],
    num_rows: 25000
}), Dataset({
    features: ['text', 'label'],
    num_rows: 40
})]

We see that it returned a list of 3 labeled datasets, the first two of size 25,000, and the third of size 40. We will use these as train and test datasets for training the model, and the toy dataset for a sanity check. These Datasets are wrapped in a Dataset class.

We now wrap the dataset into a DatasetDict class, which contains helpful methods to use for working with the data.
https://huggingface.co/docs/datasets/package_reference/main_classes#datasets.DatasetDict

In [8]:
#wrap it in a DatasetDict to enable methods such as map and format
dataset = DatasetDict({'train': dataset[0], 'val': dataset[1], 'toy': dataset[2]})
In [9]:
dataset
Out[9]:
DatasetDict({
    train: Dataset({
        features: ['text', 'label'],
        num_rows: 25000
    })
    val: Dataset({
        features: ['text', 'label'],
        num_rows: 25000
    })
    toy: Dataset({
        features: ['text', 'label'],
        num_rows: 40
    })
})

We can now access the datasets in the Dict as we would a dictionary. Let's print a few training samples

In [10]:
print(dataset['train'])

for i in range(4):
    print(f'TRAINING SAMPLE {i}:') 
    print(dataset['train'][i]['text'])
    label = dataset['train'][i]['label']
    print(f'Label {i}: {label}')
    print('\n')
Dataset({
    features: ['text', 'label'],
    num_rows: 25000
})
TRAINING SAMPLE 0:
I rented I AM CURIOUS-YELLOW from my video store because of all the controversy that surrounded it when it was first released in 1967. I also heard that at first it was seized by U.S. customs if it ever tried to enter this country, therefore being a fan of films considered "controversial" I really had to see this for myself.<br /><br />The plot is centered around a young Swedish drama student named Lena who wants to learn everything she can about life. In particular she wants to focus her attentions to making some sort of documentary on what the average Swede thought about certain political issues such as the Vietnam War and race issues in the United States. In between asking politicians and ordinary denizens of Stockholm about their opinions on politics, she has sex with her drama teacher, classmates, and married men.<br /><br />What kills me about I AM CURIOUS-YELLOW is that 40 years ago, this was considered pornographic. Really, the sex and nudity scenes are few and far between, even then it's not shot like some cheaply made porno. While my countrymen mind find it shocking, in reality sex and nudity are a major staple in Swedish cinema. Even Ingmar Bergman, arguably their answer to good old boy John Ford, had sex scenes in his films.<br /><br />I do commend the filmmakers for the fact that any sex shown in the film is shown for artistic purposes rather than just to shock people and make money to be shown in pornographic theaters in America. I AM CURIOUS-YELLOW is a good film for anyone wanting to study the meat and potatoes (no pun intended) of Swedish cinema. But really, this film doesn't have much of a plot.
Label 0: 0


TRAINING SAMPLE 1:
"I Am Curious: Yellow" is a risible and pretentious steaming pile. It doesn't matter what one's political views are because this film can hardly be taken seriously on any level. As for the claim that frontal male nudity is an automatic NC-17, that isn't true. I've seen R-rated films with male nudity. Granted, they only offer some fleeting views, but where are the R-rated films with gaping vulvas and flapping labia? Nowhere, because they don't exist. The same goes for those crappy cable shows: schlongs swinging in the breeze but not a clitoris in sight. And those pretentious indie movies like The Brown Bunny, in which we're treated to the site of Vincent Gallo's throbbing johnson, but not a trace of pink visible on Chloe Sevigny. Before crying (or implying) "double-standard" in matters of nudity, the mentally obtuse should take into account one unavoidably obvious anatomical difference between men and women: there are no genitals on display when actresses appears nude, and the same cannot be said for a man. In fact, you generally won't see female genitals in an American film in anything short of porn or explicit erotica. This alleged double-standard is less a double standard than an admittedly depressing ability to come to terms culturally with the insides of women's bodies.
Label 1: 0


TRAINING SAMPLE 2:
If only to avoid making this type of film in the future. This film is interesting as an experiment but tells no cogent story.<br /><br />One might feel virtuous for sitting thru it because it touches on so many IMPORTANT issues but it does so without any discernable motive. The viewer comes away with no new perspectives (unless one comes up with one while one's mind wanders, as it will invariably do during this pointless film).<br /><br />One might better spend one's time staring out a window at a tree growing.<br /><br />
Label 2: 0


TRAINING SAMPLE 3:
This film was probably inspired by Godard's Masculin, féminin and I urge you to see that film instead.<br /><br />The film has two strong elements and those are, (1) the realistic acting (2) the impressive, undeservedly good, photo. Apart from that, what strikes me most is the endless stream of silliness. Lena Nyman has to be most annoying actress in the world. She acts so stupid and with all the nudity in this film,...it's unattractive. Comparing to Godard's film, intellectuality has been replaced with stupidity. Without going too far on this subject, I would say that follows from the difference in ideals between the French and the Swedish society.<br /><br />A movie of its time, and place. 2/10.
Label 3: 0


We should check the label distirbution:

In [11]:
def label_cnt(type):
    ds = dataset[type]
    size = len(ds)
    cnt= 0 
    for smp in ds:
        cnt += smp['label']
    print(f'negative samples in {type} dataset: {size - cnt}')
    print(f'positive samples in {type} dataset: {cnt}')
    
label_cnt('train')
label_cnt('val')
label_cnt('toy')
negative samples in train dataset: 12500
positive samples in train dataset: 12500
negative samples in val dataset: 12500
positive samples in val dataset: 12500
negative samples in toy dataset: 20
positive samples in toy dataset: 20

Import the tokenizer for the dataset¶

Let’s tokenize the texts into individual word tokens using the tokenizer implementation inherited from the pre-trained model class.
With Hugging Face you will always find a tokenizer associated with each model. If you are not doing research or experiments on tokenizers it’s always preferable to use the standard tokenizers.

In [12]:
from transformers import AutoTokenizer

tokenizer = AutoTokenizer.from_pretrained("distilbert-base-uncased")
print("Tokenizer input max length:", tokenizer.model_max_length)
print("Tokenizer vocabulary size:", tokenizer.vocab_size)
Tokenizer input max length: 512
Tokenizer vocabulary size: 30522

Let's create helper functions to tokenize the text. Notice the arguments sent to the tokenizer.
Padding is a strategy for ensuring tensors are rectangular by adding a special padding token to shorter sentences.
On the other hand , sometimes a sequence may be too long for a model to handle. In this case, you’ll need to truncate the sequence to a shorter length.

In [13]:
def tokenize_text(batch):
    return tokenizer(batch["text"], truncation=True, padding=True)

def tokenize_dataset(dataset):
    dataset_tokenized = dataset.map(tokenize_text, batched=True, batch_size =None)
    return dataset_tokenized

dataset_tokenized = tokenize_dataset(dataset)
In [14]:
# we would like to work with pytorch so we can manually fine-tune
dataset_tokenized.set_format("torch", columns=["input_ids", "attention_mask", "label"])
In [15]:
# no need to parrarelize in this assignment
os.environ["TOKENIZERS_PARALLELISM"] = "false"

Setting up the dataloaders and dataset¶

We will now set up the dataloaders for efficient batching and loading of the data.
By now, you are familiar with the Class methods that are needed to create a working Dataloader.

In [16]:
from torch.utils.data import DataLoader, Dataset
In [17]:
class IMDBDataset(Dataset):
    def __init__(self, dataset):
        self.ds = dataset

    def __getitem__(self, index):
        return self.ds[index]

    def __len__(self):
        return self.ds.num_rows
In [18]:
train_dataset = IMDBDataset(dataset_tokenized['train'])
val_dataset = IMDBDataset(dataset_tokenized['val'])
toy_dataset = IMDBDataset(dataset_tokenized['toy'])
In [19]:
dl_train,dl_val, dl_toy = [ 
    DataLoader(
    dataset=train_dataset,
    batch_size=12,
    shuffle=True, 
    num_workers=0
),
DataLoader(
    dataset=val_dataset,
    batch_size=12,
    shuffle=True, 
    num_workers=0
),
DataLoader(
    dataset=toy_dataset,
    batch_size=4,
    num_workers=0
)]

Transformer Encoder¶

The model we will use for the task at hand, is the encoder of the transformer proposed in the seminal paper 'Attention Is All You Need'.

The encoder is composed of positional encoding, and then multiple blocks which compute multi-head attention, layer normalization and a feed forward network as described in the diagram below.

Alternative text

We provided you with implemetations for the positional encoding and the position-wise feed forward MLP in hw3/transformer.py.

Feel free to read through the implementations to make sure you understand what they do.

TODO: To begin with, complete the transformer EncoderLayer in hw3/transformer.py

In [20]:
from hw3.transformer import EncoderLayer
# set torch seed for reproducibility
torch.manual_seed(0)
layer = EncoderLayer(embed_dim=16, hidden_dim=16, num_heads=4, window_size=4, dropout=0.1)

# load x and y
x = torch.load(os.path.join('test_tensors','encoder_layer_input.pt'))
y = torch.load(os.path.join('test_tensors','encoder_layer_output.pt'))
padding_mask = torch.ones(2, 10)
padding_mask[:, 5:] = 0

# forward pass
out = layer(x, padding_mask)
test.assertTrue(torch.allclose(out, y, atol=1e-6), 'output of encoder layer is incorrect')
/tmp/ipykernel_1886718/2496630226.py:7: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  x = torch.load(os.path.join('test_tensors','encoder_layer_input.pt'))
/tmp/ipykernel_1886718/2496630226.py:8: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  y = torch.load(os.path.join('test_tensors','encoder_layer_output.pt'))

In order to classify a sentence using the encoder, we need to somehow summarize the output of the last encoder layer (which will include an output for each token in the tokenized input sentence).

There are several options for doing this. We will use the output of the special token [CLS] appended to the beginning of each sentence by the bert tokenizer we are using.

Let's see an example of the first tokens in a sentence after tokenization:

In [21]:
tokenizer.convert_ids_to_tokens(dataset_tokenized['train'][0]['input_ids'])[:10]
Out[21]:
['[CLS]', 'i', 'rented', 'i', 'am', 'curious', '-', 'yellow', 'from', 'my']

TODO: Now it's time to put it all together. Complete the implementaion of 'Encoder' in hw3/transformer.py

In [22]:
from hw3.transformer import Encoder

# set torch seed for reproducibility
torch.manual_seed(0)
encoder = Encoder(vocab_size=100, embed_dim=16, num_heads=4, num_layers=3, 
                  hidden_dim=16, max_seq_length=64, window_size=4, dropout=0.1)

# load x and y
x = torch.load(os.path.join('test_tensors','encoder_input.pt'))
y = torch.load(os.path.join('test_tensors','encoder_output.pt'))
#x = torch.randint(0, 100, (2, 64)).long()

padding_mask = torch.ones(2, 64)
padding_mask[:, 50:] = 0

# forward pass
out = encoder(x, padding_mask)
test.assertTrue(torch.allclose(out, y, atol=1e-6), 'output of encoder layer is incorrect')
/tmp/ipykernel_1886718/537645795.py:9: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  x = torch.load(os.path.join('test_tensors','encoder_input.pt'))
/tmp/ipykernel_1886718/537645795.py:10: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  y = torch.load(os.path.join('test_tensors','encoder_output.pt'))

Training the encoder¶

We will now proceed to train the model.

TODO: Complete the implementation of TransformerEncoderTrainer in hw3/training.py

Training on a toy dataset¶

To begin with, we will train on a small toy dataset of 40 samples. This will serve as a sanity check to make sure nothing is buggy.

TODO: choose the hyperparameters in hw3.answers part3_transformer_encoder_hyperparams.

In [23]:
from hw3.answers import part3_transformer_encoder_hyperparams

params = part3_transformer_encoder_hyperparams()
print(params)
embed_dim = params['embed_dim'] 
num_heads = params['num_heads']
num_layers = params['num_layers']
hidden_dim = params['hidden_dim']
window_size = params['window_size']
dropout = params['droupout']
lr = params['lr']

vocab_size = tokenizer.vocab_size
max_seq_length = tokenizer.model_max_length

max_batches_per_epoch = None
N_EPOCHS = 20
{'embed_dim': 128, 'num_heads': 4, 'num_layers': 2, 'hidden_dim': 128, 'window_size': 128, 'droupout': 0.0, 'lr': 0.001}
In [24]:
toy_model = Encoder(vocab_size, embed_dim, num_heads, num_layers, hidden_dim, max_seq_length, window_size, dropout=dropout).to(device)
toy_optimizer = optim.Adam(toy_model.parameters(), lr=lr)
criterion = nn.BCEWithLogitsLoss()
In [25]:
# fit your model
import pickle
if not os.path.exists('toy_transfomer_encoder.pt'):
    # overfit
    from hw3.training import TransformerEncoderTrainer
    toy_trainer = TransformerEncoderTrainer(toy_model, criterion, toy_optimizer, device=device)
    # set max batches per epoch
    _ = toy_trainer.fit(dl_toy, dl_toy, N_EPOCHS, checkpoints='toy_transfomer_encoder', max_batches=max_batches_per_epoch)

    

toy_saved_state = torch.load('toy_transfomer_encoder.pt')
toy_best_acc = toy_saved_state['best_acc']
toy_model.load_state_dict(toy_saved_state['model_state']) 
/tmp/ipykernel_1886718/3834131296.py:12: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  toy_saved_state = torch.load('toy_transfomer_encoder.pt')
Out[25]:
<All keys matched successfully>
In [26]:
test.assertTrue(toy_best_acc >= 95)

Training on all data¶

Congratulations! You are now ready to train your sentiment analysis classifier!

In [27]:
max_batches_per_epoch = 500
N_EPOCHS = 4
In [28]:
model = Encoder(vocab_size, embed_dim, num_heads, num_layers, hidden_dim, max_seq_length, window_size, dropout).to(device)
optimizer = optim.Adam(model.parameters(), lr=lr)
In [29]:
# fit your model
import pickle
if not os.path.exists('trained_transfomer_encoder.pt'):
    from hw3.training import TransformerEncoderTrainer
    trainer = TransformerEncoderTrainer(model, criterion, optimizer, device=device)
    # set max batches per epoch
    _ = trainer.fit(dl_train, dl_val, N_EPOCHS, checkpoints='trained_transfomer_encoder', max_batches=max_batches_per_epoch)
    

saved_state = torch.load('trained_transfomer_encoder.pt')
best_acc = saved_state['best_acc']
model.load_state_dict(saved_state['model_state']) 
    

    
/tmp/ipykernel_1886718/3339141018.py:10: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.
  saved_state = torch.load('trained_transfomer_encoder.pt')
Out[29]:
<All keys matched successfully>
In [30]:
test.assertTrue(best_acc >= 65)

Run the follwing cells to see an example of the model output:

In [31]:
rand_index = torch.randint(len(dataset_tokenized['val']), (1,))
rand_index
Out[31]:
tensor([19583])
In [32]:
sample = dataset['val'][rand_index]
sample['text']
Out[32]:
['Best fan boy movie I\'ve ever watched save "Free Enterprise."<br /><br />In some ways it reminded me of an early Kevin Smith film.<br /><br />If you do any kind of role playing, this movie will likely have you laughing often at its insatiable fun. Don\'t expect a big budget here, the acting is also questionable at times, but it really adds to the fun of the atmosphere they create. The script is truly humorous with a lot of witty moments worth experiencing.<br /><br />The bard that always gets killed had me rolling. The sexually confused player also had me smiling a bit too. But in the end... It was just a great movie showcasing some better moments in the lives of a few geeks having a great time with role playing.<br /><br />If you are bored, and ever got into role playing, this will do nicely for a distraction. A real unexpected treat.']
In [33]:
tokenized_sample = dataset_tokenized['val'][rand_index]
tokenized_sample
input_ids = tokenized_sample['input_ids'].to(device)
label = tokenized_sample['label'].to(device)
attention_mask = tokenized_sample['attention_mask'].to(float).to(device)

print('label', label.shape)
print('attention_mask', attention_mask.shape)
prediction = model.predict(input_ids, attention_mask).squeeze(0)

print('label: {}, prediction: {}'.format(label, prediction))
label torch.Size([1])
attention_mask torch.Size([1, 512])
label: tensor([1], device='cuda:0'), prediction: tensor([1.], device='cuda:0', grad_fn=<SqueezeBackward1>)

In the next part you wil see how to fine-tune a pretrained model for the same task.

In [34]:
from cs236781.answers import display_answer
import hw3.answers

Questions¶

Fill your answers in hw3.answers.part3_q1 and hw3.answers.part3_q2

Question 1¶

Explain why stacking encoder layers that use the sliding-window attention results in a broader context in the final layer. Hint: Think what happens when stacking CNN layers.

In [35]:
display_answer(hw3.answers.part3_q1)

Your answer:

Stacking encoder layers with sliding-window attention increases the receptive field of each token, similar to how stacking layers in a Convolutional Neural Network (CNN) increases the area of the input image that a deep filter can "see."

  1. Local View in Initial Layers: In the first layer, each token can only attend to its immediate neighbors within the fixed window size $w$. For a query at position $i$, the context is limited to $[i - w/2, i + w/2]$.

  2. Context Propagation through Depth: In the second layer, each token's representation already contains information aggregated from its own window in the first layer. Therefore, when a query at position $i$ attends to a neighbor at position $i + w/2$, it is implicitly receiving information that the neighbor gathered from its neighbors further down the sequence (up to $i + w$).

  3. Linear Receptive Field Growth: With each additional layer $l$, the effective context window (receptive field) expands. For a transformer with $L$ layers and a window size $w$, the top-layer representation of a token can "see" a total context of approximately $L \times w$ tokens.

  4. Global Reach with Fewer Parameters: This mechanism allows the model to build a global understanding of the text by propagating information across layers, even though each individual attention operation remains computationally efficient at $O(n \times w)$ instead of $O(n^2)$.

Question 2¶

Propose a variation of the attention pattern such that the computational complexity stays similar to that of the sliding-window attention O(nw), but the attention is computed on a more global context. Analyze the new time complexity, and how global information would be shared. Would it take many layers? Are there limitations to this information sharing? Note: There is no single correct answer to this, feel free to read the paper that proposed the sliding-window. Any solution that makes sense will be considered correct.

In [36]:
display_answer(hw3.answers.part3_q2)

Your answer:

Proposed Variation: Dilated Sliding Window Attention

Instead of attending to the $w$ immediate neighbors ($i \pm 1, i \pm 2, \dots$), we attend to neighbors with a "gap" (dilation) of size $d$. For example, with $d=2$, a token at position $i$ attends to indices $i \pm 2, i \pm 4, \dots$.

  1. Computational Complexity: The complexity remains $O(n \cdot w)$. Even though the attention window spans a larger distance in the text, the number of attention scores computed per token is still fixed at $w$. We simply skip over the tokens in the gaps.

  2. Global Information Sharing: Global information is shared much faster because the receptive field expands more rapidly.

    • In standard sliding window, the receptive field grows linearly ($L \times w$).
    • In dilated attention, the receptive field is $L \times w \times d$. If we increase the dilation rate exponentially with each layer (e.g., Layer 1 has $d=1$, Layer 2 has $d=2$, Layer 3 has $d=4$), the receptive field grows exponentially. This allows the model to "see" the entire sequence with very few layers (logarithmic depth).
  3. Limitations:

    • The "Gap" Problem: By skipping tokens, the model loses detailed local information. A token might attend to a word 10 positions away but miss the word immediately next to it.
    • Solution: This is typically mitigated by using a "Hybrid" approach: some heads (or layers) use standard sliding window (for local details) while others use dilated window (for global context).
In [ ]: